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Finding the Fourth Proportional to 389,981.92, 585,011.28 and 162,230.80

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Solution

The fourth proportional to 389,981.92, 585,011.28 and 162,230.80 is: 243,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,981.92 : 585,011.28 = 162,230.80 : x
  2. Step 2: Convert to fraction form
    389,981.92/585,011.28 = 162,230.80/x
  3. Step 3: Cross multiply
    389,981.92x = 585,011.28 × 162,230.80
  4. Step 4: Simplify right side
    389,981.92x = 94,906,847,963.42
  5. Step 5: Solve for x
    x = 94,906,847,963.42/389,981.92
  6. Step 6: Final answer
    x = 243,362.17

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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.