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Finding the Fourth Proportional to 502,815, 693,897.84 and 273,387.72

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Solution

The fourth proportional to 502,815, 693,897.84 and 273,387.72 is: 377,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,815 : 693,897.84 = 273,387.72 : x
  2. Step 2: Convert to fraction form
    502,815/693,897.84 = 273,387.72/x
  3. Step 3: Cross multiply
    502,815x = 693,897.84 × 273,387.72
  4. Step 4: Simplify right side
    502,815x = 189,703,148,390.53
  5. Step 5: Solve for x
    x = 189,703,148,390.53/502,815
  6. Step 6: Final answer
    x = 377,282.20

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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.