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Finding the Fourth Proportional to 323,766.32, 485,707.92 and 146,356.88

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Solution

The fourth proportional to 323,766.32, 485,707.92 and 146,356.88 is: 219,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,766.32 : 485,707.92 = 146,356.88 : x
  2. Step 2: Convert to fraction form
    323,766.32/485,707.92 = 146,356.88/x
  3. Step 3: Cross multiply
    323,766.32x = 485,707.92 × 146,356.88
  4. Step 4: Simplify right side
    323,766.32x = 71,086,695,762.49
  5. Step 5: Solve for x
    x = 71,086,695,762.49/323,766.32
  6. Step 6: Final answer
    x = 219,561.74

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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.