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Finding the Fourth Proportional to 391,762.12, 587,643.20 and 111,242.92

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Solution

The fourth proportional to 391,762.12, 587,643.20 and 111,242.92 is: 166,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,762.12 : 587,643.20 = 111,242.92 : x
  2. Step 2: Convert to fraction form
    391,762.12/587,643.20 = 111,242.92/x
  3. Step 3: Cross multiply
    391,762.12x = 587,643.20 × 111,242.92
  4. Step 4: Simplify right side
    391,762.12x = 65,371,145,486.14
  5. Step 5: Solve for x
    x = 65,371,145,486.14/391,762.12
  6. Step 6: Final answer
    x = 166,864.39

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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.