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Finding the Fourth Proportional to 502,374.34, 693,236.37 and 287,465.14

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Solution

The fourth proportional to 502,374.34, 693,236.37 and 287,465.14 is: 396,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,374.34 : 693,236.37 = 287,465.14 : x
  2. Step 2: Convert to fraction form
    502,374.34/693,236.37 = 287,465.14/x
  3. Step 3: Cross multiply
    502,374.34x = 693,236.37 × 287,465.14
  4. Step 4: Simplify right side
    502,374.34x = 199,281,290,155.14
  5. Step 5: Solve for x
    x = 199,281,290,155.14/502,374.34
  6. Step 6: Final answer
    x = 396,678.88

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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.