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Finding the Fourth Proportional to 412,563.16, 618,365.83 and 156,232.79

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Solution

The fourth proportional to 412,563.16, 618,365.83 and 156,232.79 is: 234,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,563.16 : 618,365.83 = 156,232.79 : x
  2. Step 2: Convert to fraction form
    412,563.16/618,365.83 = 156,232.79/x
  3. Step 3: Cross multiply
    412,563.16x = 618,365.83 × 156,232.79
  4. Step 4: Simplify right side
    412,563.16x = 96,609,018,080.40
  5. Step 5: Solve for x
    x = 96,609,018,080.40/412,563.16
  6. Step 6: Final answer
    x = 234,167.83

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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.