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Finding the Fourth Proportional to 382,862.64, 574,330.11 and 112,991.80

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Solution

The fourth proportional to 382,862.64, 574,330.11 and 112,991.80 is: 169,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,862.64 : 574,330.11 = 112,991.80 : x
  2. Step 2: Convert to fraction form
    382,862.64/574,330.11 = 112,991.80/x
  3. Step 3: Cross multiply
    382,862.64x = 574,330.11 × 112,991.80
  4. Step 4: Simplify right side
    382,862.64x = 64,894,592,358.14
  5. Step 5: Solve for x
    x = 64,894,592,358.14/382,862.64
  6. Step 6: Final answer
    x = 169,498.37

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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.