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Finding the Fourth Proportional to 551,073.30, 826,618.71 and 209,521.93

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Solution

The fourth proportional to 551,073.30, 826,618.71 and 209,521.93 is: 314,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,073.30 : 826,618.71 = 209,521.93 : x
  2. Step 2: Convert to fraction form
    551,073.30/826,618.71 = 209,521.93/x
  3. Step 3: Cross multiply
    551,073.30x = 826,618.71 × 209,521.93
  4. Step 4: Simplify right side
    551,073.30x = 173,194,747,493.31
  5. Step 5: Solve for x
    x = 173,194,747,493.31/551,073.30
  6. Step 6: Final answer
    x = 314,286.23

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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.