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Finding the Fourth Proportional to 343,914.80, 515,872.20 and 302,442.80

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Solution

The fourth proportional to 343,914.80, 515,872.20 and 302,442.80 is: 453,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,914.80 : 515,872.20 = 302,442.80 : x
  2. Step 2: Convert to fraction form
    343,914.80/515,872.20 = 302,442.80/x
  3. Step 3: Cross multiply
    343,914.80x = 515,872.20 × 302,442.80
  4. Step 4: Simplify right side
    343,914.80x = 156,021,832,610.16
  5. Step 5: Solve for x
    x = 156,021,832,610.16/343,914.80
  6. Step 6: Final answer
    x = 453,664.20

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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.