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Finding the Fourth Proportional to 520,979, 781,570.02 and 221,456.12

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Solution

The fourth proportional to 520,979, 781,570.02 and 221,456.12 is: 332,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,979 : 781,570.02 = 221,456.12 : x
  2. Step 2: Convert to fraction form
    520,979/781,570.02 = 221,456.12/x
  3. Step 3: Cross multiply
    520,979x = 781,570.02 × 221,456.12
  4. Step 4: Simplify right side
    520,979x = 173,083,464,137.52
  5. Step 5: Solve for x
    x = 173,083,464,137.52/520,979
  6. Step 6: Final answer
    x = 332,227.33

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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.