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Finding the Fourth Proportional to 538,605.70, 743,275.68 and 296,892.31

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Solution

The fourth proportional to 538,605.70, 743,275.68 and 296,892.31 is: 409,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,605.70 : 743,275.68 = 296,892.31 : x
  2. Step 2: Convert to fraction form
    538,605.70/743,275.68 = 296,892.31/x
  3. Step 3: Cross multiply
    538,605.70x = 743,275.68 × 296,892.31
  4. Step 4: Simplify right side
    538,605.70x = 220,672,828,401.18
  5. Step 5: Solve for x
    x = 220,672,828,401.18/538,605.70
  6. Step 6: Final answer
    x = 409,711.28

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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.