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Finding the Fourth Proportional to 538,513.52, 743,115.20 and 296,782.65

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Solution

The fourth proportional to 538,513.52, 743,115.20 and 296,782.65 is: 409,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,513.52 : 743,115.20 = 296,782.65 : x
  2. Step 2: Convert to fraction form
    538,513.52/743,115.20 = 296,782.65/x
  3. Step 3: Cross multiply
    538,513.52x = 743,115.20 × 296,782.65
  4. Step 4: Simplify right side
    538,513.52x = 220,543,696,827.37
  5. Step 5: Solve for x
    x = 220,543,696,827.37/538,513.52
  6. Step 6: Final answer
    x = 409,541.62

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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.