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Finding the Fourth Proportional to 647,041,521.60, 970,562,282.40 and 493,986,513.60

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Solution

The fourth proportional to 647,041,521.60, 970,562,282.40 and 493,986,513.60 is: 740,979,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,041,521.60 : 970,562,282.40 = 493,986,513.60 : x
  2. Step 2: Convert to fraction form
    647,041,521.60/970,562,282.40 = 493,986,513.60/x
  3. Step 3: Cross multiply
    647,041,521.60x = 970,562,282.40 × 493,986,513.60
  4. Step 4: Simplify right side
    647,041,521.60x = 479,444,678,114,434,624
  5. Step 5: Solve for x
    x = 479,444,678,114,434,624/647,041,521.60
  6. Step 6: Final answer
    x = 740,979,770.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.