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Finding the Fourth Proportional to 238,036.32, 328,438.80 and 137,376

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Solution

The fourth proportional to 238,036.32, 328,438.80 and 137,376 is: 189,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,036.32 : 328,438.80 = 137,376 : x
  2. Step 2: Convert to fraction form
    238,036.32/328,438.80 = 137,376/x
  3. Step 3: Cross multiply
    238,036.32x = 328,438.80 × 137,376
  4. Step 4: Simplify right side
    238,036.32x = 45,119,608,588.80
  5. Step 5: Solve for x
    x = 45,119,608,588.80/238,036.32
  6. Step 6: Final answer
    x = 189,549.26

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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.