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Finding the Fourth Proportional to 647,041,097.60, 970,561,646.40 and 493,986,089.60

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Solution

The fourth proportional to 647,041,097.60, 970,561,646.40 and 493,986,089.60 is: 740,979,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,041,097.60 : 970,561,646.40 = 493,986,089.60 : x
  2. Step 2: Convert to fraction form
    647,041,097.60/970,561,646.40 = 493,986,089.60/x
  3. Step 3: Cross multiply
    647,041,097.60x = 970,561,646.40 × 493,986,089.60
  4. Step 4: Simplify right side
    647,041,097.60x = 479,443,952,420,873,920
  5. Step 5: Solve for x
    x = 479,443,952,420,873,920/647,041,097.60
  6. Step 6: Final answer
    x = 740,979,134.40

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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.