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Finding the Fourth Proportional to 278,197.64, 416,992.03 and 143,269.88

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Solution

The fourth proportional to 278,197.64, 416,992.03 and 143,269.88 is: 214,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,197.64 : 416,992.03 = 143,269.88 : x
  2. Step 2: Convert to fraction form
    278,197.64/416,992.03 = 143,269.88/x
  3. Step 3: Cross multiply
    278,197.64x = 416,992.03 × 143,269.88
  4. Step 4: Simplify right side
    278,197.64x = 59,742,398,807.39
  5. Step 5: Solve for x
    x = 59,742,398,807.39/278,197.64
  6. Step 6: Final answer
    x = 214,748.04

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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.