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Finding the Fourth Proportional to 319,973.20, 479,830.20 and 109,502.80

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Solution

The fourth proportional to 319,973.20, 479,830.20 and 109,502.80 is: 164,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,973.20 : 479,830.20 = 109,502.80 : x
  2. Step 2: Convert to fraction form
    319,973.20/479,830.20 = 109,502.80/x
  3. Step 3: Cross multiply
    319,973.20x = 479,830.20 × 109,502.80
  4. Step 4: Simplify right side
    319,973.20x = 52,542,750,424.56
  5. Step 5: Solve for x
    x = 52,542,750,424.56/319,973.20
  6. Step 6: Final answer
    x = 164,209.85

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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.