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Finding the Fourth Proportional to 391,257.92, 539,956.16 and 219,165.83

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Solution

The fourth proportional to 391,257.92, 539,956.16 and 219,165.83 is: 302,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,257.92 : 539,956.16 = 219,165.83 : x
  2. Step 2: Convert to fraction form
    391,257.92/539,956.16 = 219,165.83/x
  3. Step 3: Cross multiply
    391,257.92x = 539,956.16 × 219,165.83
  4. Step 4: Simplify right side
    391,257.92x = 118,339,939,021.11
  5. Step 5: Solve for x
    x = 118,339,939,021.11/391,257.92
  6. Step 6: Final answer
    x = 302,460.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.