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Finding the Fourth Proportional to 500,920.08, 691,281.72 and 274,578

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Solution

The fourth proportional to 500,920.08, 691,281.72 and 274,578 is: 378,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,920.08 : 691,281.72 = 274,578 : x
  2. Step 2: Convert to fraction form
    500,920.08/691,281.72 = 274,578/x
  3. Step 3: Cross multiply
    500,920.08x = 691,281.72 × 274,578
  4. Step 4: Simplify right side
    500,920.08x = 189,810,752,114.16
  5. Step 5: Solve for x
    x = 189,810,752,114.16/500,920.08
  6. Step 6: Final answer
    x = 378,924.22

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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.