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Finding the Fourth Proportional to 319,966.47, 479,978.40 and 83,311.20

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Solution

The fourth proportional to 319,966.47, 479,978.40 and 83,311.20 is: 124,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,966.47 : 479,978.40 = 83,311.20 : x
  2. Step 2: Convert to fraction form
    319,966.47/479,978.40 = 83,311.20/x
  3. Step 3: Cross multiply
    319,966.47x = 479,978.40 × 83,311.20
  4. Step 4: Simplify right side
    319,966.47x = 39,987,576,478.08
  5. Step 5: Solve for x
    x = 39,987,576,478.08/319,966.47
  6. Step 6: Final answer
    x = 124,974.27

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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.