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Finding the Fourth Proportional to 343,175.20, 514,522.80 and 202,861.60

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Solution

The fourth proportional to 343,175.20, 514,522.80 and 202,861.60 is: 304,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,175.20 : 514,522.80 = 202,861.60 : x
  2. Step 2: Convert to fraction form
    343,175.20/514,522.80 = 202,861.60/x
  3. Step 3: Cross multiply
    343,175.20x = 514,522.80 × 202,861.60
  4. Step 4: Simplify right side
    343,175.20x = 104,376,918,444.48
  5. Step 5: Solve for x
    x = 104,376,918,444.48/343,175.20
  6. Step 6: Final answer
    x = 304,150.53

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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.