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Finding the Fourth Proportional to 311,115.30, 466,344.90 and 121,502.40

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Solution

The fourth proportional to 311,115.30, 466,344.90 and 121,502.40 is: 182,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,115.30 : 466,344.90 = 121,502.40 : x
  2. Step 2: Convert to fraction form
    311,115.30/466,344.90 = 121,502.40/x
  3. Step 3: Cross multiply
    311,115.30x = 466,344.90 × 121,502.40
  4. Step 4: Simplify right side
    311,115.30x = 56,662,024,577.76
  5. Step 5: Solve for x
    x = 56,662,024,577.76/311,115.30
  6. Step 6: Final answer
    x = 182,125.48

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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.