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Finding the Fourth Proportional to 361,547.68, 498,948.78 and 218,279.92

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Solution

The fourth proportional to 361,547.68, 498,948.78 and 218,279.92 is: 301,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,547.68 : 498,948.78 = 218,279.92 : x
  2. Step 2: Convert to fraction form
    361,547.68/498,948.78 = 218,279.92/x
  3. Step 3: Cross multiply
    361,547.68x = 498,948.78 × 218,279.92
  4. Step 4: Simplify right side
    361,547.68x = 108,910,499,782.50
  5. Step 5: Solve for x
    x = 108,910,499,782.50/361,547.68
  6. Step 6: Final answer
    x = 301,234.13

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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.