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Finding the Fourth Proportional to 412,271.80, 618,407.70 and 318,844.60

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Solution

The fourth proportional to 412,271.80, 618,407.70 and 318,844.60 is: 478,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,271.80 : 618,407.70 = 318,844.60 : x
  2. Step 2: Convert to fraction form
    412,271.80/618,407.70 = 318,844.60/x
  3. Step 3: Cross multiply
    412,271.80x = 618,407.70 × 318,844.60
  4. Step 4: Simplify right side
    412,271.80x = 197,175,955,743.42
  5. Step 5: Solve for x
    x = 197,175,955,743.42/412,271.80
  6. Step 6: Final answer
    x = 478,266.90

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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.