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Finding the Fourth Proportional to 317,306.64, 437,850.72 and 189,978.96

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Solution

The fourth proportional to 317,306.64, 437,850.72 and 189,978.96 is: 262,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,306.64 : 437,850.72 = 189,978.96 : x
  2. Step 2: Convert to fraction form
    317,306.64/437,850.72 = 189,978.96/x
  3. Step 3: Cross multiply
    317,306.64x = 437,850.72 × 189,978.96
  4. Step 4: Simplify right side
    317,306.64x = 83,182,424,420.85
  5. Step 5: Solve for x
    x = 83,182,424,420.85/317,306.64
  6. Step 6: Final answer
    x = 262,151.54

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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.