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Finding the Fourth Proportional to 242,314.72, 363,515.52 and 82,405.60

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Solution

The fourth proportional to 242,314.72, 363,515.52 and 82,405.60 is: 123,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,314.72 : 363,515.52 = 82,405.60 : x
  2. Step 2: Convert to fraction form
    242,314.72/363,515.52 = 82,405.60/x
  3. Step 3: Cross multiply
    242,314.72x = 363,515.52 × 82,405.60
  4. Step 4: Simplify right side
    242,314.72x = 29,955,714,534.91
  5. Step 5: Solve for x
    x = 29,955,714,534.91/242,314.72
  6. Step 6: Final answer
    x = 123,623.17

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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.