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Finding the Fourth Proportional to 278,889.90, 418,334.85 and 200,741.10

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Solution

The fourth proportional to 278,889.90, 418,334.85 and 200,741.10 is: 301,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889.90 : 418,334.85 = 200,741.10 : x
  2. Step 2: Convert to fraction form
    278,889.90/418,334.85 = 200,741.10/x
  3. Step 3: Cross multiply
    278,889.90x = 418,334.85 × 200,741.10
  4. Step 4: Simplify right side
    278,889.90x = 83,976,997,957.34
  5. Step 5: Solve for x
    x = 83,976,997,957.34/278,889.90
  6. Step 6: Final answer
    x = 301,111.65

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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.