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Finding the Fourth Proportional to 500,207.87, 750,078.28 and 180,317.61

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Solution

The fourth proportional to 500,207.87, 750,078.28 and 180,317.61 is: 270,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,207.87 : 750,078.28 = 180,317.61 : x
  2. Step 2: Convert to fraction form
    500,207.87/750,078.28 = 180,317.61/x
  3. Step 3: Cross multiply
    500,207.87x = 750,078.28 × 180,317.61
  4. Step 4: Simplify right side
    500,207.87x = 135,252,323,718.11
  5. Step 5: Solve for x
    x = 135,252,323,718.11/500,207.87
  6. Step 6: Final answer
    x = 270,392.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.