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Finding the Fourth Proportional to 278,823.40, 418,235.10 and 200,674.60

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Solution

The fourth proportional to 278,823.40, 418,235.10 and 200,674.60 is: 301,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,823.40 : 418,235.10 = 200,674.60 : x
  2. Step 2: Convert to fraction form
    278,823.40/418,235.10 = 200,674.60/x
  3. Step 3: Cross multiply
    278,823.40x = 418,235.10 × 200,674.60
  4. Step 4: Simplify right side
    278,823.40x = 83,929,161,398.46
  5. Step 5: Solve for x
    x = 83,929,161,398.46/278,823.40
  6. Step 6: Final answer
    x = 301,011.90

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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.