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Finding the Fourth Proportional to 271,833.52, 407,570.28 and 129,700.72

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Solution

The fourth proportional to 271,833.52, 407,570.28 and 129,700.72 is: 194,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,833.52 : 407,570.28 = 129,700.72 : x
  2. Step 2: Convert to fraction form
    271,833.52/407,570.28 = 129,700.72/x
  3. Step 3: Cross multiply
    271,833.52x = 407,570.28 × 129,700.72
  4. Step 4: Simplify right side
    271,833.52x = 52,862,158,766.60
  5. Step 5: Solve for x
    x = 52,862,158,766.60/271,833.52
  6. Step 6: Final answer
    x = 194,465.20

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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.