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Finding the Fourth Proportional to 412,538.02, 618,807.60 and 113,021.20

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Solution

The fourth proportional to 412,538.02, 618,807.60 and 113,021.20 is: 169,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,538.02 : 618,807.60 = 113,021.20 : x
  2. Step 2: Convert to fraction form
    412,538.02/618,807.60 = 113,021.20/x
  3. Step 3: Cross multiply
    412,538.02x = 618,807.60 × 113,021.20
  4. Step 4: Simplify right side
    412,538.02x = 69,938,377,521.12
  5. Step 5: Solve for x
    x = 69,938,377,521.12/412,538.02
  6. Step 6: Final answer
    x = 169,531.96

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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.