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Finding the Fourth Proportional to 319,061.43, 478,778.19 and 119,521.98

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Solution

The fourth proportional to 319,061.43, 478,778.19 and 119,521.98 is: 179,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,061.43 : 478,778.19 = 119,521.98 : x
  2. Step 2: Convert to fraction form
    319,061.43/478,778.19 = 119,521.98/x
  3. Step 3: Cross multiply
    319,061.43x = 478,778.19 × 119,521.98
  4. Step 4: Simplify right side
    319,061.43x = 57,224,517,473.72
  5. Step 5: Solve for x
    x = 57,224,517,473.72/319,061.43
  6. Step 6: Final answer
    x = 179,352.66

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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.