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Finding the Fourth Proportional to 647,143.20, 970,909.20 and 460,519.20

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Solution

The fourth proportional to 647,143.20, 970,909.20 and 460,519.20 is: 690,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,143.20 : 970,909.20 = 460,519.20 : x
  2. Step 2: Convert to fraction form
    647,143.20/970,909.20 = 460,519.20/x
  3. Step 3: Cross multiply
    647,143.20x = 970,909.20 × 460,519.20
  4. Step 4: Simplify right side
    647,143.20x = 447,122,328,056.64
  5. Step 5: Solve for x
    x = 447,122,328,056.64/647,143.20
  6. Step 6: Final answer
    x = 690,917.14

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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.