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Finding the Fourth Proportional to 500,438.16, 690,579 and 274,078.80

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Solution

The fourth proportional to 500,438.16, 690,579 and 274,078.80 is: 378,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,438.16 : 690,579 = 274,078.80 : x
  2. Step 2: Convert to fraction form
    500,438.16/690,579 = 274,078.80/x
  3. Step 3: Cross multiply
    500,438.16x = 690,579 × 274,078.80
  4. Step 4: Simplify right side
    500,438.16x = 189,273,063,625.20
  5. Step 5: Solve for x
    x = 189,273,063,625.20/500,438.16
  6. Step 6: Final answer
    x = 378,214.69

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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.