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Finding the Fourth Proportional to 278,858.70, 418,288.05 and 200,126.70

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Solution

The fourth proportional to 278,858.70, 418,288.05 and 200,126.70 is: 300,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,858.70 : 418,288.05 = 200,126.70 : x
  2. Step 2: Convert to fraction form
    278,858.70/418,288.05 = 200,126.70/x
  3. Step 3: Cross multiply
    278,858.70x = 418,288.05 × 200,126.70
  4. Step 4: Simplify right side
    278,858.70x = 83,710,607,095.94
  5. Step 5: Solve for x
    x = 83,710,607,095.94/278,858.70
  6. Step 6: Final answer
    x = 300,190.05

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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.