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Finding the Fourth Proportional to 499,651.93, 749,763.57 and 211,440.87

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Solution

The fourth proportional to 499,651.93, 749,763.57 and 211,440.87 is: 317,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,651.93 : 749,763.57 = 211,440.87 : x
  2. Step 2: Convert to fraction form
    499,651.93/749,763.57 = 211,440.87/x
  3. Step 3: Cross multiply
    499,651.93x = 749,763.57 × 211,440.87
  4. Step 4: Simplify right side
    499,651.93x = 158,530,661,535.11
  5. Step 5: Solve for x
    x = 158,530,661,535.11/499,651.93
  6. Step 6: Final answer
    x = 317,282.20

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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.