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Finding the Fourth Proportional to 278,430.86, 384,179 and 169,462.21

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Solution

The fourth proportional to 278,430.86, 384,179 and 169,462.21 is: 233,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,430.86 : 384,179 = 169,462.21 : x
  2. Step 2: Convert to fraction form
    278,430.86/384,179 = 169,462.21/x
  3. Step 3: Cross multiply
    278,430.86x = 384,179 × 169,462.21
  4. Step 4: Simplify right side
    278,430.86x = 65,103,820,454.70
  5. Step 5: Solve for x
    x = 65,103,820,454.70/278,430.86
  6. Step 6: Final answer
    x = 233,824.02

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1.5x scale

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.