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Finding the Fourth Proportional to 382,080.57, 572,970.72 and 129,291.45

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Solution

The fourth proportional to 382,080.57, 572,970.72 and 129,291.45 is: 193,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,080.57 : 572,970.72 = 129,291.45 : x
  2. Step 2: Convert to fraction form
    382,080.57/572,970.72 = 129,291.45/x
  3. Step 3: Cross multiply
    382,080.57x = 572,970.72 × 129,291.45
  4. Step 4: Simplify right side
    382,080.57x = 74,080,215,196.34
  5. Step 5: Solve for x
    x = 74,080,215,196.34/382,080.57
  6. Step 6: Final answer
    x = 193,886.37

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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.