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Finding the Fourth Proportional to 319,049.82, 478,651.08 and 91,348.61

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Solution

The fourth proportional to 319,049.82, 478,651.08 and 91,348.61 is: 137,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,049.82 : 478,651.08 = 91,348.61 : x
  2. Step 2: Convert to fraction form
    319,049.82/478,651.08 = 91,348.61/x
  3. Step 3: Cross multiply
    319,049.82x = 478,651.08 × 91,348.61
  4. Step 4: Simplify right side
    319,049.82x = 43,724,108,439.74
  5. Step 5: Solve for x
    x = 43,724,108,439.74/319,049.82
  6. Step 6: Final answer
    x = 137,044.77

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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.