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Finding the Fourth Proportional to 438,716.48, 658,074.84 and 158,233.72

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Solution

The fourth proportional to 438,716.48, 658,074.84 and 158,233.72 is: 237,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,716.48 : 658,074.84 = 158,233.72 : x
  2. Step 2: Convert to fraction form
    438,716.48/658,074.84 = 158,233.72/x
  3. Step 3: Cross multiply
    438,716.48x = 658,074.84 × 158,233.72
  4. Step 4: Simplify right side
    438,716.48x = 104,129,629,971.61
  5. Step 5: Solve for x
    x = 104,129,629,971.61/438,716.48
  6. Step 6: Final answer
    x = 237,350.62

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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.