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Finding the Fourth Proportional to 386,812.20, 580,218.30 and 353,569.80

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Solution

The fourth proportional to 386,812.20, 580,218.30 and 353,569.80 is: 530,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,812.20 : 580,218.30 = 353,569.80 : x
  2. Step 2: Convert to fraction form
    386,812.20/580,218.30 = 353,569.80/x
  3. Step 3: Cross multiply
    386,812.20x = 580,218.30 × 353,569.80
  4. Step 4: Simplify right side
    386,812.20x = 205,147,668,287.34
  5. Step 5: Solve for x
    x = 205,147,668,287.34/386,812.20
  6. Step 6: Final answer
    x = 530,354.70

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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.