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Finding the Fourth Proportional to 500,505.12, 690,707.16 and 274,150.80

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Solution

The fourth proportional to 500,505.12, 690,707.16 and 274,150.80 is: 378,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,505.12 : 690,707.16 = 274,150.80 : x
  2. Step 2: Convert to fraction form
    500,505.12/690,707.16 = 274,150.80/x
  3. Step 3: Cross multiply
    500,505.12x = 690,707.16 × 274,150.80
  4. Step 4: Simplify right side
    500,505.12x = 189,357,920,479.73
  5. Step 5: Solve for x
    x = 189,357,920,479.73/500,505.12
  6. Step 6: Final answer
    x = 378,333.63

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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.