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Finding the Fourth Proportional to 319,862.90, 479,967.15 and 132,893.30

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Solution

The fourth proportional to 319,862.90, 479,967.15 and 132,893.30 is: 199,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,862.90 : 479,967.15 = 132,893.30 : x
  2. Step 2: Convert to fraction form
    319,862.90/479,967.15 = 132,893.30/x
  3. Step 3: Cross multiply
    319,862.90x = 479,967.15 × 132,893.30
  4. Step 4: Simplify right side
    319,862.90x = 63,784,418,455.10
  5. Step 5: Solve for x
    x = 63,784,418,455.10/319,862.90
  6. Step 6: Final answer
    x = 199,411.74

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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.