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Finding the Fourth Proportional to 391,956.16, 587,854.32 and 111,398.08

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Solution

The fourth proportional to 391,956.16, 587,854.32 and 111,398.08 is: 167,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,956.16 : 587,854.32 = 111,398.08 : x
  2. Step 2: Convert to fraction form
    391,956.16/587,854.32 = 111,398.08/x
  3. Step 3: Cross multiply
    391,956.16x = 587,854.32 × 111,398.08
  4. Step 4: Simplify right side
    391,956.16x = 65,485,842,567.71
  5. Step 5: Solve for x
    x = 65,485,842,567.71/391,956.16
  6. Step 6: Final answer
    x = 167,074.41

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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.