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Finding the Fourth Proportional to 342,872.20, 473,219.70 and 205,042.12

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Solution

The fourth proportional to 342,872.20, 473,219.70 and 205,042.12 is: 282,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,872.20 : 473,219.70 = 205,042.12 : x
  2. Step 2: Convert to fraction form
    342,872.20/473,219.70 = 205,042.12/x
  3. Step 3: Cross multiply
    342,872.20x = 473,219.70 × 205,042.12
  4. Step 4: Simplify right side
    342,872.20x = 97,029,970,513.76
  5. Step 5: Solve for x
    x = 97,029,970,513.76/342,872.20
  6. Step 6: Final answer
    x = 282,991.65

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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.