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Finding the Fourth Proportional to 343,915.56, 516,009.42 and 133,613.64

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Solution

The fourth proportional to 343,915.56, 516,009.42 and 133,613.64 is: 200,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,915.56 : 516,009.42 = 133,613.64 : x
  2. Step 2: Convert to fraction form
    343,915.56/516,009.42 = 133,613.64/x
  3. Step 3: Cross multiply
    343,915.56x = 516,009.42 × 133,613.64
  4. Step 4: Simplify right side
    343,915.56x = 68,945,896,880.49
  5. Step 5: Solve for x
    x = 68,945,896,880.49/343,915.56
  6. Step 6: Final answer
    x = 200,473.33

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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.