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Finding the Fourth Proportional to 408,981.60, 613,472.40 and 343,663.20

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Solution

The fourth proportional to 408,981.60, 613,472.40 and 343,663.20 is: 515,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,981.60 : 613,472.40 = 343,663.20 : x
  2. Step 2: Convert to fraction form
    408,981.60/613,472.40 = 343,663.20/x
  3. Step 3: Cross multiply
    408,981.60x = 613,472.40 × 343,663.20
  4. Step 4: Simplify right side
    408,981.60x = 210,827,888,095.68
  5. Step 5: Solve for x
    x = 210,827,888,095.68/408,981.60
  6. Step 6: Final answer
    x = 515,494.80

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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.