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Finding the Fourth Proportional to 524,872.38, 724,074.42 and 309,868.42

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Solution

The fourth proportional to 524,872.38, 724,074.42 and 309,868.42 is: 427,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,872.38 : 724,074.42 = 309,868.42 : x
  2. Step 2: Convert to fraction form
    524,872.38/724,074.42 = 309,868.42/x
  3. Step 3: Cross multiply
    524,872.38x = 724,074.42 × 309,868.42
  4. Step 4: Simplify right side
    524,872.38x = 224,367,796,487.82
  5. Step 5: Solve for x
    x = 224,367,796,487.82/524,872.38
  6. Step 6: Final answer
    x = 427,471.14

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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.