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Finding the Fourth Proportional to 287,593.70, 431,390.55 and 110,009.30

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Solution

The fourth proportional to 287,593.70, 431,390.55 and 110,009.30 is: 165,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,593.70 : 431,390.55 = 110,009.30 : x
  2. Step 2: Convert to fraction form
    287,593.70/431,390.55 = 110,009.30/x
  3. Step 3: Cross multiply
    287,593.70x = 431,390.55 × 110,009.30
  4. Step 4: Simplify right side
    287,593.70x = 47,456,972,432.12
  5. Step 5: Solve for x
    x = 47,456,972,432.12/287,593.70
  6. Step 6: Final answer
    x = 165,013.95

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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.