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Finding the Fourth Proportional to 414,661.36, 572,013.20 and 285,375.38

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Solution

The fourth proportional to 414,661.36, 572,013.20 and 285,375.38 is: 393,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,661.36 : 572,013.20 = 285,375.38 : x
  2. Step 2: Convert to fraction form
    414,661.36/572,013.20 = 285,375.38/x
  3. Step 3: Cross multiply
    414,661.36x = 572,013.20 × 285,375.38
  4. Step 4: Simplify right side
    414,661.36x = 163,238,486,591.67
  5. Step 5: Solve for x
    x = 163,238,486,591.67/414,661.36
  6. Step 6: Final answer
    x = 393,666.98

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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.