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Finding the Fourth Proportional to 407,114.70, 610,672.05 and 257,523.90

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Solution

The fourth proportional to 407,114.70, 610,672.05 and 257,523.90 is: 386,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.70 : 610,672.05 = 257,523.90 : x
  2. Step 2: Convert to fraction form
    407,114.70/610,672.05 = 257,523.90/x
  3. Step 3: Cross multiply
    407,114.70x = 610,672.05 × 257,523.90
  4. Step 4: Simplify right side
    407,114.70x = 157,262,647,937.00
  5. Step 5: Solve for x
    x = 157,262,647,937.00/407,114.70
  6. Step 6: Final answer
    x = 386,285.85

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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.