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Finding the Fourth Proportional to 278,756.75, 418,118.13 and 98,851.04

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Solution

The fourth proportional to 278,756.75, 418,118.13 and 98,851.04 is: 148,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,756.75 : 418,118.13 = 98,851.04 : x
  2. Step 2: Convert to fraction form
    278,756.75/418,118.13 = 98,851.04/x
  3. Step 3: Cross multiply
    278,756.75x = 418,118.13 × 98,851.04
  4. Step 4: Simplify right side
    278,756.75x = 41,331,409,902.76
  5. Step 5: Solve for x
    x = 41,331,409,902.76/278,756.75
  6. Step 6: Final answer
    x = 148,270.53

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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.