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Finding the Fourth Proportional to 287,465.32, 431,188.70 and 77,092.20

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Solution

The fourth proportional to 287,465.32, 431,188.70 and 77,092.20 is: 115,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,465.32 : 431,188.70 = 77,092.20 : x
  2. Step 2: Convert to fraction form
    287,465.32/431,188.70 = 77,092.20/x
  3. Step 3: Cross multiply
    287,465.32x = 431,188.70 × 77,092.20
  4. Step 4: Simplify right side
    287,465.32x = 33,241,285,498.14
  5. Step 5: Solve for x
    x = 33,241,285,498.14/287,465.32
  6. Step 6: Final answer
    x = 115,635.81

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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.