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Finding the Fourth Proportional to 238,235.38, 357,277.28 and 78,274.44

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Solution

The fourth proportional to 238,235.38, 357,277.28 and 78,274.44 is: 117,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,235.38 : 357,277.28 = 78,274.44 : x
  2. Step 2: Convert to fraction form
    238,235.38/357,277.28 = 78,274.44/x
  3. Step 3: Cross multiply
    238,235.38x = 357,277.28 × 78,274.44
  4. Step 4: Simplify right side
    238,235.38x = 27,965,680,400.71
  5. Step 5: Solve for x
    x = 27,965,680,400.71/238,235.38
  6. Step 6: Final answer
    x = 117,386.77

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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.