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Finding the Fourth Proportional to 646,982.70, 970,646.85 and 577,344.30

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Solution

The fourth proportional to 646,982.70, 970,646.85 and 577,344.30 is: 866,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,982.70 : 970,646.85 = 577,344.30 : x
  2. Step 2: Convert to fraction form
    646,982.70/970,646.85 = 577,344.30/x
  3. Step 3: Cross multiply
    646,982.70x = 970,646.85 × 577,344.30
  4. Step 4: Simplify right side
    646,982.70x = 560,397,426,160.46
  5. Step 5: Solve for x
    x = 560,397,426,160.46/646,982.70
  6. Step 6: Final answer
    x = 866,170.65

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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.