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Finding the Fourth Proportional to 408,456.36, 612,881.10 and 307,908.90

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Solution

The fourth proportional to 408,456.36, 612,881.10 and 307,908.90 is: 462,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,456.36 : 612,881.10 = 307,908.90 : x
  2. Step 2: Convert to fraction form
    408,456.36/612,881.10 = 307,908.90/x
  3. Step 3: Cross multiply
    408,456.36x = 612,881.10 × 307,908.90
  4. Step 4: Simplify right side
    408,456.36x = 188,711,545,331.79
  5. Step 5: Solve for x
    x = 188,711,545,331.79/408,456.36
  6. Step 6: Final answer
    x = 462,011.52

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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.