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Finding the Fourth Proportional to 513,649.50, 708,839.07 and 287,294.94

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Solution

The fourth proportional to 513,649.50, 708,839.07 and 287,294.94 is: 396,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,649.50 : 708,839.07 = 287,294.94 : x
  2. Step 2: Convert to fraction form
    513,649.50/708,839.07 = 287,294.94/x
  3. Step 3: Cross multiply
    513,649.50x = 708,839.07 × 287,294.94
  4. Step 4: Simplify right side
    513,649.50x = 203,645,878,085.31
  5. Step 5: Solve for x
    x = 203,645,878,085.31/513,649.50
  6. Step 6: Final answer
    x = 396,468.56

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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.