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Finding the Fourth Proportional to 282,463.76, 423,708.45 and 80,074.34

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Solution

The fourth proportional to 282,463.76, 423,708.45 and 80,074.34 is: 120,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,463.76 : 423,708.45 = 80,074.34 : x
  2. Step 2: Convert to fraction form
    282,463.76/423,708.45 = 80,074.34/x
  3. Step 3: Cross multiply
    282,463.76x = 423,708.45 × 80,074.34
  4. Step 4: Simplify right side
    282,463.76x = 33,928,174,486.17
  5. Step 5: Solve for x
    x = 33,928,174,486.17/282,463.76
  6. Step 6: Final answer
    x = 120,115.14

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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.