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Finding the Fourth Proportional to 408,343.82, 612,592.98 and 134,805.47

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Solution

The fourth proportional to 408,343.82, 612,592.98 and 134,805.47 is: 202,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,343.82 : 612,592.98 = 134,805.47 : x
  2. Step 2: Convert to fraction form
    408,343.82/612,592.98 = 134,805.47/x
  3. Step 3: Cross multiply
    408,343.82x = 612,592.98 × 134,805.47
  4. Step 4: Simplify right side
    408,343.82x = 82,580,881,019.12
  5. Step 5: Solve for x
    x = 82,580,881,019.12/408,343.82
  6. Step 6: Final answer
    x = 202,233.70

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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.