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Finding the Fourth Proportional to 278,817,772.80, 418,226,659.20 and 256,522,425.60

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Solution

The fourth proportional to 278,817,772.80, 418,226,659.20 and 256,522,425.60 is: 384,783,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,817,772.80 : 418,226,659.20 = 256,522,425.60 : x
  2. Step 2: Convert to fraction form
    278,817,772.80/418,226,659.20 = 256,522,425.60/x
  3. Step 3: Cross multiply
    278,817,772.80x = 418,226,659.20 × 256,522,425.60
  4. Step 4: Simplify right side
    278,817,772.80x = 107,284,517,068,568,544
  5. Step 5: Solve for x
    x = 107,284,517,068,568,544/278,817,772.80
  6. Step 6: Final answer
    x = 384,783,638.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.