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Finding the Fourth Proportional to 415,034.42, 572,768.78 and 253,838.84

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Solution

The fourth proportional to 415,034.42, 572,768.78 and 253,838.84 is: 350,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,034.42 : 572,768.78 = 253,838.84 : x
  2. Step 2: Convert to fraction form
    415,034.42/572,768.78 = 253,838.84/x
  3. Step 3: Cross multiply
    415,034.42x = 572,768.78 × 253,838.84
  4. Step 4: Simplify right side
    415,034.42x = 145,390,958,570.38
  5. Step 5: Solve for x
    x = 145,390,958,570.38/415,034.42
  6. Step 6: Final answer
    x = 350,310.61

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1.5x scale

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.