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Finding the Fourth Proportional to 386,097.71, 579,348.45 and 280,355.18

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Solution

The fourth proportional to 386,097.71, 579,348.45 and 280,355.18 is: 420,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,097.71 : 579,348.45 = 280,355.18 : x
  2. Step 2: Convert to fraction form
    386,097.71/579,348.45 = 280,355.18/x
  3. Step 3: Cross multiply
    386,097.71x = 579,348.45 × 280,355.18
  4. Step 4: Simplify right side
    386,097.71x = 162,423,336,085.73
  5. Step 5: Solve for x
    x = 162,423,336,085.73/386,097.71
  6. Step 6: Final answer
    x = 420,679.36

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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.