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Finding the Fourth Proportional to 512,123.38, 706,726.38 and 282,680.64

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Solution

The fourth proportional to 512,123.38, 706,726.38 and 282,680.64 is: 390,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,123.38 : 706,726.38 = 282,680.64 : x
  2. Step 2: Convert to fraction form
    512,123.38/706,726.38 = 282,680.64/x
  3. Step 3: Cross multiply
    512,123.38x = 706,726.38 × 282,680.64
  4. Step 4: Simplify right side
    512,123.38x = 199,777,865,403.28
  5. Step 5: Solve for x
    x = 199,777,865,403.28/512,123.38
  6. Step 6: Final answer
    x = 390,097.14

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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.