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Finding the Fourth Proportional to 278,444.98, 416,720.58 and 171,895.96

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Solution

The fourth proportional to 278,444.98, 416,720.58 and 171,895.96 is: 257,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,444.98 : 416,720.58 = 171,895.96 : x
  2. Step 2: Convert to fraction form
    278,444.98/416,720.58 = 171,895.96/x
  3. Step 3: Cross multiply
    278,444.98x = 416,720.58 × 171,895.96
  4. Step 4: Simplify right side
    278,444.98x = 71,632,584,150.86
  5. Step 5: Solve for x
    x = 71,632,584,150.86/278,444.98
  6. Step 6: Final answer
    x = 257,259.38

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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.