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Finding the Fourth Proportional to 518,187.78, 777,281.67 and 202,423.25

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Solution

The fourth proportional to 518,187.78, 777,281.67 and 202,423.25 is: 303,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,187.78 : 777,281.67 = 202,423.25 : x
  2. Step 2: Convert to fraction form
    518,187.78/777,281.67 = 202,423.25/x
  3. Step 3: Cross multiply
    518,187.78x = 777,281.67 × 202,423.25
  4. Step 4: Simplify right side
    518,187.78x = 157,339,883,750.03
  5. Step 5: Solve for x
    x = 157,339,883,750.03/518,187.78
  6. Step 6: Final answer
    x = 303,634.88

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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.