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Finding the Fourth Proportional to 408,646, 612,969 and 113,158

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Solution

The fourth proportional to 408,646, 612,969 and 113,158 is: 169,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646 : 612,969 = 113,158 : x
  2. Step 2: Convert to fraction form
    408,646/612,969 = 113,158/x
  3. Step 3: Cross multiply
    408,646x = 612,969 × 113,158
  4. Step 4: Simplify right side
    408,646x = 69,362,346,102
  5. Step 5: Solve for x
    x = 69,362,346,102/408,646
  6. Step 6: Final answer
    x = 169,737

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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.