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Finding the Fourth Proportional to 279,802.76, 419,753.97 and 130,211.96

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Solution

The fourth proportional to 279,802.76, 419,753.97 and 130,211.96 is: 195,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,802.76 : 419,753.97 = 130,211.96 : x
  2. Step 2: Convert to fraction form
    279,802.76/419,753.97 = 130,211.96/x
  3. Step 3: Cross multiply
    279,802.76x = 419,753.97 × 130,211.96
  4. Step 4: Simplify right side
    279,802.76x = 54,656,985,052.71
  5. Step 5: Solve for x
    x = 54,656,985,052.71/279,802.76
  6. Step 6: Final answer
    x = 195,341.13

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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.