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Finding the Fourth Proportional to 278,574.30, 384,428.70 and 157,712.46

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Solution

The fourth proportional to 278,574.30, 384,428.70 and 157,712.46 is: 217,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,574.30 : 384,428.70 = 157,712.46 : x
  2. Step 2: Convert to fraction form
    278,574.30/384,428.70 = 157,712.46/x
  3. Step 3: Cross multiply
    278,574.30x = 384,428.70 × 157,712.46
  4. Step 4: Simplify right side
    278,574.30x = 60,629,195,971.60
  5. Step 5: Solve for x
    x = 60,629,195,971.60/278,574.30
  6. Step 6: Final answer
    x = 217,641.02

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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.