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Finding the Fourth Proportional to 389,616.11, 584,424.13 and 197,460.61

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Solution

The fourth proportional to 389,616.11, 584,424.13 and 197,460.61 is: 296,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616.11 : 584,424.13 = 197,460.61 : x
  2. Step 2: Convert to fraction form
    389,616.11/584,424.13 = 197,460.61/x
  3. Step 3: Cross multiply
    389,616.11x = 584,424.13 × 197,460.61
  4. Step 4: Simplify right side
    389,616.11x = 115,400,741,299.10
  5. Step 5: Solve for x
    x = 115,400,741,299.10/389,616.11
  6. Step 6: Final answer
    x = 296,190.89

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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.