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Finding the Fourth Proportional to 319,326.75, 478,990.13 and 108,964.76

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Solution

The fourth proportional to 319,326.75, 478,990.13 and 108,964.76 is: 163,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,326.75 : 478,990.13 = 108,964.76 : x
  2. Step 2: Convert to fraction form
    319,326.75/478,990.13 = 108,964.76/x
  3. Step 3: Cross multiply
    319,326.75x = 478,990.13 × 108,964.76
  4. Step 4: Simplify right side
    319,326.75x = 52,193,041,618.04
  5. Step 5: Solve for x
    x = 52,193,041,618.04/319,326.75
  6. Step 6: Final answer
    x = 163,447.13

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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.