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Finding the Fourth Proportional to 513,000.71, 707,928.61 and 280,417.31

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Solution

The fourth proportional to 513,000.71, 707,928.61 and 280,417.31 is: 386,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000.71 : 707,928.61 = 280,417.31 : x
  2. Step 2: Convert to fraction form
    513,000.71/707,928.61 = 280,417.31/x
  3. Step 3: Cross multiply
    513,000.71x = 707,928.61 × 280,417.31
  4. Step 4: Simplify right side
    513,000.71x = 198,515,436,488.24
  5. Step 5: Solve for x
    x = 198,515,436,488.24/513,000.71
  6. Step 6: Final answer
    x = 386,969.13

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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.