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Finding the Fourth Proportional to 500,833.60, 691,146.40 and 274,478.56

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Solution

The fourth proportional to 500,833.60, 691,146.40 and 274,478.56 is: 378,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,833.60 : 691,146.40 = 274,478.56 : x
  2. Step 2: Convert to fraction form
    500,833.60/691,146.40 = 274,478.56/x
  3. Step 3: Cross multiply
    500,833.60x = 691,146.40 × 274,478.56
  4. Step 4: Simplify right side
    500,833.60x = 189,704,868,621.18
  5. Step 5: Solve for x
    x = 189,704,868,621.18/500,833.60
  6. Step 6: Final answer
    x = 378,778.24

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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.