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Finding the Fourth Proportional to 506,531.89, 699,031.28 and 288,772.76

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Solution

The fourth proportional to 506,531.89, 699,031.28 and 288,772.76 is: 398,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,531.89 : 699,031.28 = 288,772.76 : x
  2. Step 2: Convert to fraction form
    506,531.89/699,031.28 = 288,772.76/x
  3. Step 3: Cross multiply
    506,531.89x = 699,031.28 × 288,772.76
  4. Step 4: Simplify right side
    506,531.89x = 201,861,192,355.65
  5. Step 5: Solve for x
    x = 201,861,192,355.65/506,531.89
  6. Step 6: Final answer
    x = 398,516.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.