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Finding the Fourth Proportional to 412,803.20, 618,621.60 and 287,998.40

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Solution

The fourth proportional to 412,803.20, 618,621.60 and 287,998.40 is: 431,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,803.20 : 618,621.60 = 287,998.40 : x
  2. Step 2: Convert to fraction form
    412,803.20/618,621.60 = 287,998.40/x
  3. Step 3: Cross multiply
    412,803.20x = 618,621.60 × 287,998.40
  4. Step 4: Simplify right side
    412,803.20x = 178,162,031,005.44
  5. Step 5: Solve for x
    x = 178,162,031,005.44/412,803.20
  6. Step 6: Final answer
    x = 431,590.72

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1.5x scale

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.