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Finding the Fourth Proportional to 227,920.76, 314,560.02 and 137,323.88

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Solution

The fourth proportional to 227,920.76, 314,560.02 and 137,323.88 is: 189,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,920.76 : 314,560.02 = 137,323.88 : x
  2. Step 2: Convert to fraction form
    227,920.76/314,560.02 = 137,323.88/x
  3. Step 3: Cross multiply
    227,920.76x = 314,560.02 × 137,323.88
  4. Step 4: Simplify right side
    227,920.76x = 43,196,602,439.28
  5. Step 5: Solve for x
    x = 43,196,602,439.28/227,920.76
  6. Step 6: Final answer
    x = 189,524.65

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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.