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Finding the Fourth Proportional to 512,078.34, 706,614.51 and 282,631.39

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Solution

The fourth proportional to 512,078.34, 706,614.51 and 282,631.39 is: 390,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,078.34 : 706,614.51 = 282,631.39 : x
  2. Step 2: Convert to fraction form
    512,078.34/706,614.51 = 282,631.39/x
  3. Step 3: Cross multiply
    512,078.34x = 706,614.51 × 282,631.39
  4. Step 4: Simplify right side
    512,078.34x = 199,711,441,155.47
  5. Step 5: Solve for x
    x = 199,711,441,155.47/512,078.34
  6. Step 6: Final answer
    x = 390,001.74

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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.