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Finding the Fourth Proportional to 524,938, 724,414.44 and 286,474

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Solution

The fourth proportional to 524,938, 724,414.44 and 286,474 is: 395,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,938 : 724,414.44 = 286,474 : x
  2. Step 2: Convert to fraction form
    524,938/724,414.44 = 286,474/x
  3. Step 3: Cross multiply
    524,938x = 724,414.44 × 286,474
  4. Step 4: Simplify right side
    524,938x = 207,525,902,284.56
  5. Step 5: Solve for x
    x = 207,525,902,284.56/524,938
  6. Step 6: Final answer
    x = 395,334.12

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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.