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Finding the Fourth Proportional to 278,669.97, 384,568.97 and 157,807.98

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Solution

The fourth proportional to 278,669.97, 384,568.97 and 157,807.98 is: 217,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,669.97 : 384,568.97 = 157,807.98 : x
  2. Step 2: Convert to fraction form
    278,669.97/384,568.97 = 157,807.98/x
  3. Step 3: Cross multiply
    278,669.97x = 384,568.97 × 157,807.98
  4. Step 4: Simplify right side
    278,669.97x = 60,688,051,537.34
  5. Step 5: Solve for x
    x = 60,688,051,537.34/278,669.97
  6. Step 6: Final answer
    x = 217,777.51

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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.