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Finding the Fourth Proportional to 514,433.97, 709,911.21 and 284,990.78

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Solution

The fourth proportional to 514,433.97, 709,911.21 and 284,990.78 is: 393,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,433.97 : 709,911.21 = 284,990.78 : x
  2. Step 2: Convert to fraction form
    514,433.97/709,911.21 = 284,990.78/x
  3. Step 3: Cross multiply
    514,433.97x = 709,911.21 × 284,990.78
  4. Step 4: Simplify right side
    514,433.97x = 202,318,149,468.64
  5. Step 5: Solve for x
    x = 202,318,149,468.64/514,433.97
  6. Step 6: Final answer
    x = 393,283.03

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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.