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Finding the Fourth Proportional to 658,691.34, 989,359.65 and 392,971.02

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Solution

The fourth proportional to 658,691.34, 989,359.65 and 392,971.02 is: 590,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,691.34 : 989,359.65 = 392,971.02 : x
  2. Step 2: Convert to fraction form
    658,691.34/989,359.65 = 392,971.02/x
  3. Step 3: Cross multiply
    658,691.34x = 989,359.65 × 392,971.02
  4. Step 4: Simplify right side
    658,691.34x = 388,789,670,807.34
  5. Step 5: Solve for x
    x = 388,789,670,807.34/658,691.34
  6. Step 6: Final answer
    x = 590,245.61

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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.