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Finding the Fourth Proportional to 238,214.75, 328,765.56 and 137,612.75

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Solution

The fourth proportional to 238,214.75, 328,765.56 and 137,612.75 is: 189,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,214.75 : 328,765.56 = 137,612.75 : x
  2. Step 2: Convert to fraction form
    238,214.75/328,765.56 = 137,612.75/x
  3. Step 3: Cross multiply
    238,214.75x = 328,765.56 × 137,612.75
  4. Step 4: Simplify right side
    238,214.75x = 45,242,332,816.89
  5. Step 5: Solve for x
    x = 45,242,332,816.89/238,214.75
  6. Step 6: Final answer
    x = 189,922.47

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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.