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Finding the Fourth Proportional to 238,071.62, 328,537.90 and 130,643.44

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Solution

The fourth proportional to 238,071.62, 328,537.90 and 130,643.44 is: 180,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,071.62 : 328,537.90 = 130,643.44 : x
  2. Step 2: Convert to fraction form
    238,071.62/328,537.90 = 130,643.44/x
  3. Step 3: Cross multiply
    238,071.62x = 328,537.90 × 130,643.44
  4. Step 4: Simplify right side
    238,071.62x = 42,921,321,426.38
  5. Step 5: Solve for x
    x = 42,921,321,426.38/238,071.62
  6. Step 6: Final answer
    x = 180,287.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.