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Finding the Fourth Proportional to 278,782.14, 418,123.86 and 126,944.40

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Solution

The fourth proportional to 278,782.14, 418,123.86 and 126,944.40 is: 190,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,782.14 : 418,123.86 = 126,944.40 : x
  2. Step 2: Convert to fraction form
    278,782.14/418,123.86 = 126,944.40/x
  3. Step 3: Cross multiply
    278,782.14x = 418,123.86 × 126,944.40
  4. Step 4: Simplify right side
    278,782.14x = 53,078,482,533.38
  5. Step 5: Solve for x
    x = 53,078,482,533.38/278,782.14
  6. Step 6: Final answer
    x = 190,394.13

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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.