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Finding the Fourth Proportional to 323,788.32, 485,740.92 and 146,378.88

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Solution

The fourth proportional to 323,788.32, 485,740.92 and 146,378.88 is: 219,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,788.32 : 485,740.92 = 146,378.88 : x
  2. Step 2: Convert to fraction form
    323,788.32/485,740.92 = 146,378.88/x
  3. Step 3: Cross multiply
    323,788.32x = 485,740.92 × 146,378.88
  4. Step 4: Simplify right side
    323,788.32x = 71,102,211,839.77
  5. Step 5: Solve for x
    x = 71,102,211,839.77/323,788.32
  6. Step 6: Final answer
    x = 219,594.74

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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.