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Finding the Fourth Proportional to 381,682.16, 572,634.04 and 153,860.20

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Solution

The fourth proportional to 381,682.16, 572,634.04 and 153,860.20 is: 230,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,682.16 : 572,634.04 = 153,860.20 : x
  2. Step 2: Convert to fraction form
    381,682.16/572,634.04 = 153,860.20/x
  3. Step 3: Cross multiply
    381,682.16x = 572,634.04 × 153,860.20
  4. Step 4: Simplify right side
    381,682.16x = 88,105,587,921.21
  5. Step 5: Solve for x
    x = 88,105,587,921.21/381,682.16
  6. Step 6: Final answer
    x = 230,834.96

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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.