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Finding the Fourth Proportional to 459,047.10, 687,209.85 and 341,240.70

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Solution

The fourth proportional to 459,047.10, 687,209.85 and 341,240.70 is: 510,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,047.10 : 687,209.85 = 341,240.70 : x
  2. Step 2: Convert to fraction form
    459,047.10/687,209.85 = 341,240.70/x
  3. Step 3: Cross multiply
    459,047.10x = 687,209.85 × 341,240.70
  4. Step 4: Simplify right side
    459,047.10x = 234,503,970,260.90
  5. Step 5: Solve for x
    x = 234,503,970,260.90/459,047.10
  6. Step 6: Final answer
    x = 510,849.48

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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.