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Finding the Fourth Proportional to 278,673.72, 384,574.16 and 157,811.73

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Solution

The fourth proportional to 278,673.72, 384,574.16 and 157,811.73 is: 217,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,673.72 : 384,574.16 = 157,811.73 : x
  2. Step 2: Convert to fraction form
    278,673.72/384,574.16 = 157,811.73/x
  3. Step 3: Cross multiply
    278,673.72x = 384,574.16 × 157,811.73
  4. Step 4: Simplify right side
    278,673.72x = 60,690,312,713.84
  5. Step 5: Solve for x
    x = 60,690,312,713.84/278,673.72
  6. Step 6: Final answer
    x = 217,782.69

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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.