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Finding the Fourth Proportional to 1,235,822.80, 1,850,623.80 and 812,808.40

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Solution

The fourth proportional to 1,235,822.80, 1,850,623.80 and 812,808.40 is: 1,217,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,822.80 : 1,850,623.80 = 812,808.40 : x
  2. Step 2: Convert to fraction form
    1,235,822.80/1,850,623.80 = 812,808.40/x
  3. Step 3: Cross multiply
    1,235,822.80x = 1,850,623.80 × 812,808.40
  4. Step 4: Simplify right side
    1,235,822.80x = 1,504,202,569,879.92
  5. Step 5: Solve for x
    x = 1,504,202,569,879.92/1,235,822.80
  6. Step 6: Final answer
    x = 1,217,166.87

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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.