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Finding the Fourth Proportional to 238,490.70, 329,148.27 and 153,853.98

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Solution

The fourth proportional to 238,490.70, 329,148.27 and 153,853.98 is: 212,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,490.70 : 329,148.27 = 153,853.98 : x
  2. Step 2: Convert to fraction form
    238,490.70/329,148.27 = 153,853.98/x
  3. Step 3: Cross multiply
    238,490.70x = 329,148.27 × 153,853.98
  4. Step 4: Simplify right side
    238,490.70x = 50,640,771,349.61
  5. Step 5: Solve for x
    x = 50,640,771,349.61/238,490.70
  6. Step 6: Final answer
    x = 212,338.56

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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.