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Finding the Fourth Proportional to 238,572, 329,229.36 and 137,976.48

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Solution

The fourth proportional to 238,572, 329,229.36 and 137,976.48 is: 190,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,572 : 329,229.36 = 137,976.48 : x
  2. Step 2: Convert to fraction form
    238,572/329,229.36 = 137,976.48/x
  3. Step 3: Cross multiply
    238,572x = 329,229.36 × 137,976.48
  4. Step 4: Simplify right side
    238,572x = 45,425,908,205.45
  5. Step 5: Solve for x
    x = 45,425,908,205.45/238,572
  6. Step 6: Final answer
    x = 190,407.54

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1.5x scale

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.