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Finding the Fourth Proportional to 404,460, 558,154.80 and 225,612

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Solution

The fourth proportional to 404,460, 558,154.80 and 225,612 is: 311,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,460 : 558,154.80 = 225,612 : x
  2. Step 2: Convert to fraction form
    404,460/558,154.80 = 225,612/x
  3. Step 3: Cross multiply
    404,460x = 558,154.80 × 225,612
  4. Step 4: Simplify right side
    404,460x = 125,926,420,737.60
  5. Step 5: Solve for x
    x = 125,926,420,737.60/404,460
  6. Step 6: Final answer
    x = 311,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.