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Finding the Fourth Proportional to 319,474.29, 479,031.60 and 106,128

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Solution

The fourth proportional to 319,474.29, 479,031.60 and 106,128 is: 159,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,474.29 : 479,031.60 = 106,128 : x
  2. Step 2: Convert to fraction form
    319,474.29/479,031.60 = 106,128/x
  3. Step 3: Cross multiply
    319,474.29x = 479,031.60 × 106,128
  4. Step 4: Simplify right side
    319,474.29x = 50,838,665,644.80
  5. Step 5: Solve for x
    x = 50,838,665,644.80/319,474.29
  6. Step 6: Final answer
    x = 159,132.26

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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.