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Finding the Fourth Proportional to 399,634.54, 599,688.24 and 147,092.40

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Solution

The fourth proportional to 399,634.54, 599,688.24 and 147,092.40 is: 220,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,634.54 : 599,688.24 = 147,092.40 : x
  2. Step 2: Convert to fraction form
    399,634.54/599,688.24 = 147,092.40/x
  3. Step 3: Cross multiply
    399,634.54x = 599,688.24 × 147,092.40
  4. Step 4: Simplify right side
    399,634.54x = 88,209,582,473.38
  5. Step 5: Solve for x
    x = 88,209,582,473.38/399,634.54
  6. Step 6: Final answer
    x = 220,725.62

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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.