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Finding the Fourth Proportional to 392,284.32, 588,368.16 and 142,908

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Solution

The fourth proportional to 392,284.32, 588,368.16 and 142,908 is: 214,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,284.32 : 588,368.16 = 142,908 : x
  2. Step 2: Convert to fraction form
    392,284.32/588,368.16 = 142,908/x
  3. Step 3: Cross multiply
    392,284.32x = 588,368.16 × 142,908
  4. Step 4: Simplify right side
    392,284.32x = 84,082,517,009.28
  5. Step 5: Solve for x
    x = 84,082,517,009.28/392,284.32
  6. Step 6: Final answer
    x = 214,340.75

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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.