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Finding the Fourth Proportional to 278,731.60, 418,097.40 and 101,244.40

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Solution

The fourth proportional to 278,731.60, 418,097.40 and 101,244.40 is: 151,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,731.60 : 418,097.40 = 101,244.40 : x
  2. Step 2: Convert to fraction form
    278,731.60/418,097.40 = 101,244.40/x
  3. Step 3: Cross multiply
    278,731.60x = 418,097.40 × 101,244.40
  4. Step 4: Simplify right side
    278,731.60x = 42,330,020,404.56
  5. Step 5: Solve for x
    x = 42,330,020,404.56/278,731.60
  6. Step 6: Final answer
    x = 151,866.60

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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.