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Finding the Fourth Proportional to 438,612.40, 658,072.20 and 189,473.20

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Solution

The fourth proportional to 438,612.40, 658,072.20 and 189,473.20 is: 284,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,612.40 : 658,072.20 = 189,473.20 : x
  2. Step 2: Convert to fraction form
    438,612.40/658,072.20 = 189,473.20/x
  3. Step 3: Cross multiply
    438,612.40x = 658,072.20 × 189,473.20
  4. Step 4: Simplify right side
    438,612.40x = 124,687,045,565.04
  5. Step 5: Solve for x
    x = 124,687,045,565.04/438,612.40
  6. Step 6: Final answer
    x = 284,276.15

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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.