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Finding the Fourth Proportional to 616,901.77, 925,126 and 211,979.14

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Solution

The fourth proportional to 616,901.77, 925,126 and 211,979.14 is: 317,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,901.77 : 925,126 = 211,979.14 : x
  2. Step 2: Convert to fraction form
    616,901.77/925,126 = 211,979.14/x
  3. Step 3: Cross multiply
    616,901.77x = 925,126 × 211,979.14
  4. Step 4: Simplify right side
    616,901.77x = 196,107,413,871.64
  5. Step 5: Solve for x
    x = 196,107,413,871.64/616,901.77
  6. Step 6: Final answer
    x = 317,890.83

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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.