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Finding the Fourth Proportional to 414,728.42, 572,188.35 and 338,115.80

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Solution

The fourth proportional to 414,728.42, 572,188.35 and 338,115.80 is: 466,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,728.42 : 572,188.35 = 338,115.80 : x
  2. Step 2: Convert to fraction form
    414,728.42/572,188.35 = 338,115.80/x
  3. Step 3: Cross multiply
    414,728.42x = 572,188.35 × 338,115.80
  4. Step 4: Simplify right side
    414,728.42x = 193,465,920,020.35
  5. Step 5: Solve for x
    x = 193,465,920,020.35/414,728.42
  6. Step 6: Final answer
    x = 466,488.22

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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.