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Finding the Fourth Proportional to 278,750.74, 384,701.70 and 157,897.12

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Solution

The fourth proportional to 278,750.74, 384,701.70 and 157,897.12 is: 217,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,750.74 : 384,701.70 = 157,897.12 : x
  2. Step 2: Convert to fraction form
    278,750.74/384,701.70 = 157,897.12/x
  3. Step 3: Cross multiply
    278,750.74x = 384,701.70 × 157,897.12
  4. Step 4: Simplify right side
    278,750.74x = 60,743,290,489.10
  5. Step 5: Solve for x
    x = 60,743,290,489.10/278,750.74
  6. Step 6: Final answer
    x = 217,912.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.