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Finding the Fourth Proportional to 381,046.42, 571,569.77 and 141,242.77

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Solution

The fourth proportional to 381,046.42, 571,569.77 and 141,242.77 is: 211,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,046.42 : 571,569.77 = 141,242.77 : x
  2. Step 2: Convert to fraction form
    381,046.42/571,569.77 = 141,242.77/x
  3. Step 3: Cross multiply
    381,046.42x = 571,569.77 × 141,242.77
  4. Step 4: Simplify right side
    381,046.42x = 80,730,097,563.06
  5. Step 5: Solve for x
    x = 80,730,097,563.06/381,046.42
  6. Step 6: Final answer
    x = 211,864.21

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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.