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Finding the Fourth Proportional to 414,661.43, 572,013.30 and 285,375.45

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Solution

The fourth proportional to 414,661.43, 572,013.30 and 285,375.45 is: 393,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,661.43 : 572,013.30 = 285,375.45 : x
  2. Step 2: Convert to fraction form
    414,661.43/572,013.30 = 285,375.45/x
  3. Step 3: Cross multiply
    414,661.43x = 572,013.30 × 285,375.45
  4. Step 4: Simplify right side
    414,661.43x = 163,238,556,108.69
  5. Step 5: Solve for x
    x = 163,238,556,108.69/414,661.43
  6. Step 6: Final answer
    x = 393,667.08

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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.