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Finding the Fourth Proportional to 278,852.52, 384,785.20 and 157,967.92

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Solution

The fourth proportional to 278,852.52, 384,785.20 and 157,967.92 is: 217,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,852.52 : 384,785.20 = 157,967.92 : x
  2. Step 2: Convert to fraction form
    278,852.52/384,785.20 = 157,967.92/x
  3. Step 3: Cross multiply
    278,852.52x = 384,785.20 × 157,967.92
  4. Step 4: Simplify right side
    278,852.52x = 60,783,717,690.78
  5. Step 5: Solve for x
    x = 60,783,717,690.78/278,852.52
  6. Step 6: Final answer
    x = 217,978.01

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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.