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Finding the Fourth Proportional to 322,456.78, 443,973.91 and 292,563.21

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Solution

The fourth proportional to 322,456.78, 443,973.91 and 292,563.21 is: 402,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,456.78 : 443,973.91 = 292,563.21 : x
  2. Step 2: Convert to fraction form
    322,456.78/443,973.91 = 292,563.21/x
  3. Step 3: Cross multiply
    322,456.78x = 443,973.91 × 292,563.21
  4. Step 4: Simplify right side
    322,456.78x = 129,890,430,803.04
  5. Step 5: Solve for x
    x = 129,890,430,803.04/322,456.78
  6. Step 6: Final answer
    x = 402,815.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.