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Finding the Fourth Proportional to 407,110.70, 610,666.05 and 257,519.90

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Solution

The fourth proportional to 407,110.70, 610,666.05 and 257,519.90 is: 386,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,110.70 : 610,666.05 = 257,519.90 : x
  2. Step 2: Convert to fraction form
    407,110.70/610,666.05 = 257,519.90/x
  3. Step 3: Cross multiply
    407,110.70x = 610,666.05 × 257,519.90
  4. Step 4: Simplify right side
    407,110.70x = 157,258,660,129.40
  5. Step 5: Solve for x
    x = 157,258,660,129.40/407,110.70
  6. Step 6: Final answer
    x = 386,279.85

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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.