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Finding the Fourth Proportional to 500,098.40, 690,144 and 282,318.56

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Solution

The fourth proportional to 500,098.40, 690,144 and 282,318.56 is: 389,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,098.40 : 690,144 = 282,318.56 : x
  2. Step 2: Convert to fraction form
    500,098.40/690,144 = 282,318.56/x
  3. Step 3: Cross multiply
    500,098.40x = 690,144 × 282,318.56
  4. Step 4: Simplify right side
    500,098.40x = 194,840,460,272.64
  5. Step 5: Solve for x
    x = 194,840,460,272.64/500,098.40
  6. Step 6: Final answer
    x = 389,604.25

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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.