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Finding the Fourth Proportional to 342,143.20, 513,214.80 and 202,175.20

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Solution

The fourth proportional to 342,143.20, 513,214.80 and 202,175.20 is: 303,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,143.20 : 513,214.80 = 202,175.20 : x
  2. Step 2: Convert to fraction form
    342,143.20/513,214.80 = 202,175.20/x
  3. Step 3: Cross multiply
    342,143.20x = 513,214.80 × 202,175.20
  4. Step 4: Simplify right side
    342,143.20x = 103,759,304,832.96
  5. Step 5: Solve for x
    x = 103,759,304,832.96/342,143.20
  6. Step 6: Final answer
    x = 303,262.80

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1.5x scale

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.