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Finding the Fourth Proportional to 343,287.20, 514,930.80 and 156,663.20

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Solution

The fourth proportional to 343,287.20, 514,930.80 and 156,663.20 is: 234,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,287.20 : 514,930.80 = 156,663.20 : x
  2. Step 2: Convert to fraction form
    343,287.20/514,930.80 = 156,663.20/x
  3. Step 3: Cross multiply
    343,287.20x = 514,930.80 × 156,663.20
  4. Step 4: Simplify right side
    343,287.20x = 80,670,706,906.56
  5. Step 5: Solve for x
    x = 80,670,706,906.56/343,287.20
  6. Step 6: Final answer
    x = 234,994.80

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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.