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Finding the Fourth Proportional to 274,284.50, 378,494.80 and 153,404.86

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Solution

The fourth proportional to 274,284.50, 378,494.80 and 153,404.86 is: 211,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,284.50 : 378,494.80 = 153,404.86 : x
  2. Step 2: Convert to fraction form
    274,284.50/378,494.80 = 153,404.86/x
  3. Step 3: Cross multiply
    274,284.50x = 378,494.80 × 153,404.86
  4. Step 4: Simplify right side
    274,284.50x = 58,062,941,804.73
  5. Step 5: Solve for x
    x = 58,062,941,804.73/274,284.50
  6. Step 6: Final answer
    x = 211,688.75

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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.