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Finding the Fourth Proportional to 281,275.94, 421,913.91 and 123,505.76

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Solution

The fourth proportional to 281,275.94, 421,913.91 and 123,505.76 is: 185,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275.94 : 421,913.91 = 123,505.76 : x
  2. Step 2: Convert to fraction form
    281,275.94/421,913.91 = 123,505.76/x
  3. Step 3: Cross multiply
    281,275.94x = 421,913.91 × 123,505.76
  4. Step 4: Simplify right side
    281,275.94x = 52,108,799,627.05
  5. Step 5: Solve for x
    x = 52,108,799,627.05/281,275.94
  6. Step 6: Final answer
    x = 185,258.64

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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.