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Finding the Fourth Proportional to 408,858.32, 613,244.34 and 109,369.14

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Solution

The fourth proportional to 408,858.32, 613,244.34 and 109,369.14 is: 164,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.32 : 613,244.34 = 109,369.14 : x
  2. Step 2: Convert to fraction form
    408,858.32/613,244.34 = 109,369.14/x
  3. Step 3: Cross multiply
    408,858.32x = 613,244.34 × 109,369.14
  4. Step 4: Simplify right side
    408,858.32x = 67,070,006,075.67
  5. Step 5: Solve for x
    x = 67,070,006,075.67/408,858.32
  6. Step 6: Final answer
    x = 164,042.17

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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.