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Finding the Fourth Proportional to 500,257.64, 690,355.40 and 270,814.76

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Solution

The fourth proportional to 500,257.64, 690,355.40 and 270,814.76 is: 373,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,257.64 : 690,355.40 = 270,814.76 : x
  2. Step 2: Convert to fraction form
    500,257.64/690,355.40 = 270,814.76/x
  3. Step 3: Cross multiply
    500,257.64x = 690,355.40 × 270,814.76
  4. Step 4: Simplify right side
    500,257.64x = 186,958,431,965.70
  5. Step 5: Solve for x
    x = 186,958,431,965.70/500,257.64
  6. Step 6: Final answer
    x = 373,724.29

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1.5x scale

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.