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Finding the Fourth Proportional to 500,476.50, 690,657.66 and 274,130.10

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Solution

The fourth proportional to 500,476.50, 690,657.66 and 274,130.10 is: 378,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,476.50 : 690,657.66 = 274,130.10 : x
  2. Step 2: Convert to fraction form
    500,476.50/690,657.66 = 274,130.10/x
  3. Step 3: Cross multiply
    500,476.50x = 690,657.66 × 274,130.10
  4. Step 4: Simplify right side
    500,476.50x = 189,330,053,401.57
  5. Step 5: Solve for x
    x = 189,330,053,401.57/500,476.50
  6. Step 6: Final answer
    x = 378,299.59

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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.