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Finding the Fourth Proportional to 500,717.30, 690,990.21 and 296,868.78

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Solution

The fourth proportional to 500,717.30, 690,990.21 and 296,868.78 is: 409,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,717.30 : 690,990.21 = 296,868.78 : x
  2. Step 2: Convert to fraction form
    500,717.30/690,990.21 = 296,868.78/x
  3. Step 3: Cross multiply
    500,717.30x = 690,990.21 × 296,868.78
  4. Step 4: Simplify right side
    500,717.30x = 205,133,420,634.64
  5. Step 5: Solve for x
    x = 205,133,420,634.64/500,717.30
  6. Step 6: Final answer
    x = 409,679.12

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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.