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Finding the Fourth Proportional to 280,705.96, 387,373.92 and 151,644.40

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Solution

The fourth proportional to 280,705.96, 387,373.92 and 151,644.40 is: 209,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,705.96 : 387,373.92 = 151,644.40 : x
  2. Step 2: Convert to fraction form
    280,705.96/387,373.92 = 151,644.40/x
  3. Step 3: Cross multiply
    280,705.96x = 387,373.92 × 151,644.40
  4. Step 4: Simplify right side
    280,705.96x = 58,743,085,674.05
  5. Step 5: Solve for x
    x = 58,743,085,674.05/280,705.96
  6. Step 6: Final answer
    x = 209,269.11

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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.