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Finding the Fourth Proportional to 278,705.56, 384,669.68 and 165,506.44

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Solution

The fourth proportional to 278,705.56, 384,669.68 and 165,506.44 is: 228,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705.56 : 384,669.68 = 165,506.44 : x
  2. Step 2: Convert to fraction form
    278,705.56/384,669.68 = 165,506.44/x
  3. Step 3: Cross multiply
    278,705.56x = 384,669.68 × 165,506.44
  4. Step 4: Simplify right side
    278,705.56x = 63,665,309,312.74
  5. Step 5: Solve for x
    x = 63,665,309,312.74/278,705.56
  6. Step 6: Final answer
    x = 228,432.15

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1.5x scale

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.