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Finding the Fourth Proportional to 278,703.87, 384,616.41 and 157,870.25

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Solution

The fourth proportional to 278,703.87, 384,616.41 and 157,870.25 is: 217,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,703.87 : 384,616.41 = 157,870.25 : x
  2. Step 2: Convert to fraction form
    278,703.87/384,616.41 = 157,870.25/x
  3. Step 3: Cross multiply
    278,703.87x = 384,616.41 × 157,870.25
  4. Step 4: Simplify right side
    278,703.87x = 60,719,486,877.72
  5. Step 5: Solve for x
    x = 60,719,486,877.72/278,703.87
  6. Step 6: Final answer
    x = 217,863.81

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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.