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Finding the Fourth Proportional to 816,271.20, 1,224,601.20 and 342,712.80

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Solution

The fourth proportional to 816,271.20, 1,224,601.20 and 342,712.80 is: 514,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,271.20 : 1,224,601.20 = 342,712.80 : x
  2. Step 2: Convert to fraction form
    816,271.20/1,224,601.20 = 342,712.80/x
  3. Step 3: Cross multiply
    816,271.20x = 1,224,601.20 × 342,712.80
  4. Step 4: Simplify right side
    816,271.20x = 419,686,506,135.36
  5. Step 5: Solve for x
    x = 419,686,506,135.36/816,271.20
  6. Step 6: Final answer
    x = 514,150.82

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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.