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Finding the Fourth Proportional to 502,140.13, 753,208.71 and 413,208.61

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Solution

The fourth proportional to 502,140.13, 753,208.71 and 413,208.61 is: 619,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,140.13 : 753,208.71 = 413,208.61 : x
  2. Step 2: Convert to fraction form
    502,140.13/753,208.71 = 413,208.61/x
  3. Step 3: Cross multiply
    502,140.13x = 753,208.71 × 413,208.61
  4. Step 4: Simplify right side
    502,140.13x = 311,232,324,098.99
  5. Step 5: Solve for x
    x = 311,232,324,098.99/502,140.13
  6. Step 6: Final answer
    x = 619,811.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.