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Finding the Fourth Proportional to 278,501.58, 384,304.11 and 157,621.86

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Solution

The fourth proportional to 278,501.58, 384,304.11 and 157,621.86 is: 217,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,501.58 : 384,304.11 = 157,621.86 : x
  2. Step 2: Convert to fraction form
    278,501.58/384,304.11 = 157,621.86/x
  3. Step 3: Cross multiply
    278,501.58x = 384,304.11 × 157,621.86
  4. Step 4: Simplify right side
    278,501.58x = 60,574,728,623.84
  5. Step 5: Solve for x
    x = 60,574,728,623.84/278,501.58
  6. Step 6: Final answer
    x = 217,502.28

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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.