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Finding the Fourth Proportional to 287,645.61, 431,530.70 and 110,152.62

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Solution

The fourth proportional to 287,645.61, 431,530.70 and 110,152.62 is: 165,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645.61 : 431,530.70 = 110,152.62 : x
  2. Step 2: Convert to fraction form
    287,645.61/431,530.70 = 110,152.62/x
  3. Step 3: Cross multiply
    287,645.61x = 431,530.70 × 110,152.62
  4. Step 4: Simplify right side
    287,645.61x = 47,534,237,215.43
  5. Step 5: Solve for x
    x = 47,534,237,215.43/287,645.61
  6. Step 6: Final answer
    x = 165,252.78

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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.