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Finding the Fourth Proportional to 278,508.32, 384,233.85 and 157,621.89

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Solution

The fourth proportional to 278,508.32, 384,233.85 and 157,621.89 is: 217,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,508.32 : 384,233.85 = 157,621.89 : x
  2. Step 2: Convert to fraction form
    278,508.32/384,233.85 = 157,621.89/x
  3. Step 3: Cross multiply
    278,508.32x = 384,233.85 × 157,621.89
  4. Step 4: Simplify right side
    278,508.32x = 60,563,665,638.98
  5. Step 5: Solve for x
    x = 60,563,665,638.98/278,508.32
  6. Step 6: Final answer
    x = 217,457.30

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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.