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Finding the Fourth Proportional to 287,910.72, 431,917.11 and 138,421.98

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Solution

The fourth proportional to 287,910.72, 431,917.11 and 138,421.98 is: 207,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,910.72 : 431,917.11 = 138,421.98 : x
  2. Step 2: Convert to fraction form
    287,910.72/431,917.11 = 138,421.98/x
  3. Step 3: Cross multiply
    287,910.72x = 431,917.11 × 138,421.98
  4. Step 4: Simplify right side
    287,910.72x = 59,786,821,562.08
  5. Step 5: Solve for x
    x = 59,786,821,562.08/287,910.72
  6. Step 6: Final answer
    x = 207,657.50

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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.