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Finding the Fourth Proportional to 278,443.98, 416,719.08 and 171,894.96

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Solution

The fourth proportional to 278,443.98, 416,719.08 and 171,894.96 is: 257,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,443.98 : 416,719.08 = 171,894.96 : x
  2. Step 2: Convert to fraction form
    278,443.98/416,719.08 = 171,894.96/x
  3. Step 3: Cross multiply
    278,443.98x = 416,719.08 × 171,894.96
  4. Step 4: Simplify right side
    278,443.98x = 71,631,909,587.84
  5. Step 5: Solve for x
    x = 71,631,909,587.84/278,443.98
  6. Step 6: Final answer
    x = 257,257.89

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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.