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Finding the Fourth Proportional to 412,156.10, 618,276.06 and 142,249.11

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Solution

The fourth proportional to 412,156.10, 618,276.06 and 142,249.11 is: 213,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,156.10 : 618,276.06 = 142,249.11 : x
  2. Step 2: Convert to fraction form
    412,156.10/618,276.06 = 142,249.11/x
  3. Step 3: Cross multiply
    412,156.10x = 618,276.06 × 142,249.11
  4. Step 4: Simplify right side
    412,156.10x = 87,949,219,269.31
  5. Step 5: Solve for x
    x = 87,949,219,269.31/412,156.10
  6. Step 6: Final answer
    x = 213,388.13

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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.