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Finding the Fourth Proportional to 412,651.68, 618,977.52 and 272,377.50

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Solution

The fourth proportional to 412,651.68, 618,977.52 and 272,377.50 is: 408,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,651.68 : 618,977.52 = 272,377.50 : x
  2. Step 2: Convert to fraction form
    412,651.68/618,977.52 = 272,377.50/x
  3. Step 3: Cross multiply
    412,651.68x = 618,977.52 × 272,377.50
  4. Step 4: Simplify right side
    412,651.68x = 168,595,549,453.80
  5. Step 5: Solve for x
    x = 168,595,549,453.80/412,651.68
  6. Step 6: Final answer
    x = 408,566.25

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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.