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Finding the Fourth Proportional to 403,680, 605,067.40 and 163,738.15

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Solution

The fourth proportional to 403,680, 605,067.40 and 163,738.15 is: 245,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,680 : 605,067.40 = 163,738.15 : x
  2. Step 2: Convert to fraction form
    403,680/605,067.40 = 163,738.15/x
  3. Step 3: Cross multiply
    403,680x = 605,067.40 × 163,738.15
  4. Step 4: Simplify right side
    403,680x = 99,072,616,701.31
  5. Step 5: Solve for x
    x = 99,072,616,701.31/403,680
  6. Step 6: Final answer
    x = 245,423.64

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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.