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Finding the Fourth Proportional to 514,409.87, 709,885.49 and 284,982.05

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Solution

The fourth proportional to 514,409.87, 709,885.49 and 284,982.05 is: 393,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,409.87 : 709,885.49 = 284,982.05 : x
  2. Step 2: Convert to fraction form
    514,409.87/709,885.49 = 284,982.05/x
  3. Step 3: Cross multiply
    514,409.87x = 709,885.49 × 284,982.05
  4. Step 4: Simplify right side
    514,409.87x = 202,304,622,555.26
  5. Step 5: Solve for x
    x = 202,304,622,555.26/514,409.87
  6. Step 6: Final answer
    x = 393,275.16

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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.