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Finding the Fourth Proportional to 807,158, 1,207,747.68 and 505,233.20

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Solution

The fourth proportional to 807,158, 1,207,747.68 and 505,233.20 is: 755,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,158 : 1,207,747.68 = 505,233.20 : x
  2. Step 2: Convert to fraction form
    807,158/1,207,747.68 = 505,233.20/x
  3. Step 3: Cross multiply
    807,158x = 1,207,747.68 × 505,233.20
  4. Step 4: Simplify right side
    807,158x = 610,194,225,158.98
  5. Step 5: Solve for x
    x = 610,194,225,158.98/807,158
  6. Step 6: Final answer
    x = 755,978.66

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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.