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Finding the Fourth Proportional to 538,424.72, 743,030.99 and 296,715.96

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Solution

The fourth proportional to 538,424.72, 743,030.99 and 296,715.96 is: 409,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,424.72 : 743,030.99 = 296,715.96 : x
  2. Step 2: Convert to fraction form
    538,424.72/743,030.99 = 296,715.96/x
  3. Step 3: Cross multiply
    538,424.72x = 743,030.99 × 296,715.96
  4. Step 4: Simplify right side
    538,424.72x = 220,469,153,136.71
  5. Step 5: Solve for x
    x = 220,469,153,136.71/538,424.72
  6. Step 6: Final answer
    x = 409,470.71

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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.