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Finding the Fourth Proportional to 543,123.48, 814,827.19 and 315,200.00

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Solution

The fourth proportional to 543,123.48, 814,827.19 and 315,200.00 is: 472,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,123.48 : 814,827.19 = 315,200.00 : x
  2. Step 2: Convert to fraction form
    543,123.48/814,827.19 = 315,200.00/x
  3. Step 3: Cross multiply
    543,123.48x = 814,827.19 × 315,200.00
  4. Step 4: Simplify right side
    543,123.48x = 256,833,528,250.93
  5. Step 5: Solve for x
    x = 256,833,528,250.93/543,123.48
  6. Step 6: Final answer
    x = 472,882.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.