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Finding the Fourth Proportional to 319,346.88, 479,315.16 and 161,685.78

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Solution

The fourth proportional to 319,346.88, 479,315.16 and 161,685.78 is: 242,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,346.88 : 479,315.16 = 161,685.78 : x
  2. Step 2: Convert to fraction form
    319,346.88/479,315.16 = 161,685.78/x
  3. Step 3: Cross multiply
    319,346.88x = 479,315.16 × 161,685.78
  4. Step 4: Simplify right side
    319,346.88x = 77,498,445,510.42
  5. Step 5: Solve for x
    x = 77,498,445,510.42/319,346.88
  6. Step 6: Final answer
    x = 242,677.95

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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.