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Finding the Fourth Proportional to 1,212,822.30, 1,819,233.45 and 413,984.10

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Solution

The fourth proportional to 1,212,822.30, 1,819,233.45 and 413,984.10 is: 620,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,822.30 : 1,819,233.45 = 413,984.10 : x
  2. Step 2: Convert to fraction form
    1,212,822.30/1,819,233.45 = 413,984.10/x
  3. Step 3: Cross multiply
    1,212,822.30x = 1,819,233.45 × 413,984.10
  4. Step 4: Simplify right side
    1,212,822.30x = 753,133,722,488.15
  5. Step 5: Solve for x
    x = 753,133,722,488.15/1,212,822.30
  6. Step 6: Final answer
    x = 620,976.15

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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.