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Finding the Fourth Proportional to 287,909.92, 431,932.92 and 110,413

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Solution

The fourth proportional to 287,909.92, 431,932.92 and 110,413 is: 165,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,909.92 : 431,932.92 = 110,413 : x
  2. Step 2: Convert to fraction form
    287,909.92/431,932.92 = 110,413/x
  3. Step 3: Cross multiply
    287,909.92x = 431,932.92 × 110,413
  4. Step 4: Simplify right side
    287,909.92x = 47,691,009,495.96
  5. Step 5: Solve for x
    x = 47,691,009,495.96/287,909.92
  6. Step 6: Final answer
    x = 165,645.59

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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.