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Finding the Fourth Proportional to 408,857.19, 613,242.65 and 109,368

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Solution

The fourth proportional to 408,857.19, 613,242.65 and 109,368 is: 164,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.19 : 613,242.65 = 109,368 : x
  2. Step 2: Convert to fraction form
    408,857.19/613,242.65 = 109,368/x
  3. Step 3: Cross multiply
    408,857.19x = 613,242.65 × 109,368
  4. Step 4: Simplify right side
    408,857.19x = 67,069,121,598.36
  5. Step 5: Solve for x
    x = 67,069,121,598.36/408,857.19
  6. Step 6: Final answer
    x = 164,040.46

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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.