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Finding the Fourth Proportional to 238,230.40, 357,269.73 and 78,269.20

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Solution

The fourth proportional to 238,230.40, 357,269.73 and 78,269.20 is: 117,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,230.40 : 357,269.73 = 78,269.20 : x
  2. Step 2: Convert to fraction form
    238,230.40/357,269.73 = 78,269.20/x
  3. Step 3: Cross multiply
    238,230.40x = 357,269.73 × 78,269.20
  4. Step 4: Simplify right side
    238,230.40x = 27,963,215,951.32
  5. Step 5: Solve for x
    x = 27,963,215,951.32/238,230.40
  6. Step 6: Final answer
    x = 117,378.87

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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.