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Finding the Fourth Proportional to 575,031.30, 861,441.46 and 321,542.96

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Solution

The fourth proportional to 575,031.30, 861,441.46 and 321,542.96 is: 481,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,031.30 : 861,441.46 = 321,542.96 : x
  2. Step 2: Convert to fraction form
    575,031.30/861,441.46 = 321,542.96/x
  3. Step 3: Cross multiply
    575,031.30x = 861,441.46 × 321,542.96
  4. Step 4: Simplify right side
    575,031.30x = 276,990,436,915.12
  5. Step 5: Solve for x
    x = 276,990,436,915.12/575,031.30
  6. Step 6: Final answer
    x = 481,696.28

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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.