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Finding the Fourth Proportional to 410,398.34, 566,359.30 and 257,443

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Solution

The fourth proportional to 410,398.34, 566,359.30 and 257,443 is: 355,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,398.34 : 566,359.30 = 257,443 : x
  2. Step 2: Convert to fraction form
    410,398.34/566,359.30 = 257,443/x
  3. Step 3: Cross multiply
    410,398.34x = 566,359.30 × 257,443
  4. Step 4: Simplify right side
    410,398.34x = 145,805,237,269.90
  5. Step 5: Solve for x
    x = 145,805,237,269.90/410,398.34
  6. Step 6: Final answer
    x = 355,277.36

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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.