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Finding the Fourth Proportional to 512,582.31, 707,360.78 and 283,155.39

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Solution

The fourth proportional to 512,582.31, 707,360.78 and 283,155.39 is: 390,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,582.31 : 707,360.78 = 283,155.39 : x
  2. Step 2: Convert to fraction form
    512,582.31/707,360.78 = 283,155.39/x
  3. Step 3: Cross multiply
    512,582.31x = 707,360.78 × 283,155.39
  4. Step 4: Simplify right side
    512,582.31x = 200,293,016,115.83
  5. Step 5: Solve for x
    x = 200,293,016,115.83/512,582.31
  6. Step 6: Final answer
    x = 390,752.88

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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.