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Finding the Fourth Proportional to 280,169.32, 386,638.50 and 152,845.96

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Solution

The fourth proportional to 280,169.32, 386,638.50 and 152,845.96 is: 210,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,169.32 : 386,638.50 = 152,845.96 : x
  2. Step 2: Convert to fraction form
    280,169.32/386,638.50 = 152,845.96/x
  3. Step 3: Cross multiply
    280,169.32x = 386,638.50 × 152,845.96
  4. Step 4: Simplify right side
    280,169.32x = 59,096,132,705.46
  5. Step 5: Solve for x
    x = 59,096,132,705.46/280,169.32
  6. Step 6: Final answer
    x = 210,930.06

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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.