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Finding the Fourth Proportional to 442,061.40, 662,534.55 and 189,042.78

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Solution

The fourth proportional to 442,061.40, 662,534.55 and 189,042.78 is: 283,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,061.40 : 662,534.55 = 189,042.78 : x
  2. Step 2: Convert to fraction form
    442,061.40/662,534.55 = 189,042.78/x
  3. Step 3: Cross multiply
    442,061.40x = 662,534.55 × 189,042.78
  4. Step 4: Simplify right side
    442,061.40x = 125,247,373,178.05
  5. Step 5: Solve for x
    x = 125,247,373,178.05/442,061.40
  6. Step 6: Final answer
    x = 283,325.74

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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.