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Finding the Fourth Proportional to 284,659.85, 426,644.53 and 209,079.18

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Solution

The fourth proportional to 284,659.85, 426,644.53 and 209,079.18 is: 313,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,659.85 : 426,644.53 = 209,079.18 : x
  2. Step 2: Convert to fraction form
    284,659.85/426,644.53 = 209,079.18/x
  3. Step 3: Cross multiply
    284,659.85x = 426,644.53 × 209,079.18
  4. Step 4: Simplify right side
    284,659.85x = 89,202,487,961.19
  5. Step 5: Solve for x
    x = 89,202,487,961.19/284,659.85
  6. Step 6: Final answer
    x = 313,365.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.