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Finding the Fourth Proportional to 319,354.61, 478,489.61 and 192,728.77

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Solution

The fourth proportional to 319,354.61, 478,489.61 and 192,728.77 is: 288,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,354.61 : 478,489.61 = 192,728.77 : x
  2. Step 2: Convert to fraction form
    319,354.61/478,489.61 = 192,728.77/x
  3. Step 3: Cross multiply
    319,354.61x = 478,489.61 × 192,728.77
  4. Step 4: Simplify right side
    319,354.61x = 92,218,713,278.68
  5. Step 5: Solve for x
    x = 92,218,713,278.68/319,354.61
  6. Step 6: Final answer
    x = 288,765.88

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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.