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Finding the Fourth Proportional to 319,967.01, 479,978.06 and 83,310.12

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Solution

The fourth proportional to 319,967.01, 479,978.06 and 83,310.12 is: 124,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,967.01 : 479,978.06 = 83,310.12 : x
  2. Step 2: Convert to fraction form
    319,967.01/479,978.06 = 83,310.12/x
  3. Step 3: Cross multiply
    319,967.01x = 479,978.06 × 83,310.12
  4. Step 4: Simplify right side
    319,967.01x = 39,987,029,359.42
  5. Step 5: Solve for x
    x = 39,987,029,359.42/319,967.01
  6. Step 6: Final answer
    x = 124,972.35

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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.