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Finding the Fourth Proportional to 543,500.73, 814,463.78 and 306,338.81

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Solution

The fourth proportional to 543,500.73, 814,463.78 and 306,338.81 is: 459,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,500.73 : 814,463.78 = 306,338.81 : x
  2. Step 2: Convert to fraction form
    543,500.73/814,463.78 = 306,338.81/x
  3. Step 3: Cross multiply
    543,500.73x = 814,463.78 × 306,338.81
  4. Step 4: Simplify right side
    543,500.73x = 249,501,859,549.29
  5. Step 5: Solve for x
    x = 249,501,859,549.29/543,500.73
  6. Step 6: Final answer
    x = 459,064.44

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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.