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Finding the Fourth Proportional to 392,689.36, 588,696.70 and 136,488.64

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Solution

The fourth proportional to 392,689.36, 588,696.70 and 136,488.64 is: 204,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,689.36 : 588,696.70 = 136,488.64 : x
  2. Step 2: Convert to fraction form
    392,689.36/588,696.70 = 136,488.64/x
  3. Step 3: Cross multiply
    392,689.36x = 588,696.70 × 136,488.64
  4. Step 4: Simplify right side
    392,689.36x = 80,350,411,955.49
  5. Step 5: Solve for x
    x = 80,350,411,955.49/392,689.36
  6. Step 6: Final answer
    x = 204,615.71

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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.