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Finding the Fourth Proportional to 278,778.68, 384,686.82 and 157,895.84

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Solution

The fourth proportional to 278,778.68, 384,686.82 and 157,895.84 is: 217,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,778.68 : 384,686.82 = 157,895.84 : x
  2. Step 2: Convert to fraction form
    278,778.68/384,686.82 = 157,895.84/x
  3. Step 3: Cross multiply
    278,778.68x = 384,686.82 × 157,895.84
  4. Step 4: Simplify right side
    278,778.68x = 60,740,448,580.83
  5. Step 5: Solve for x
    x = 60,740,448,580.83/278,778.68
  6. Step 6: Final answer
    x = 217,880.54

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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.