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Finding the Fourth Proportional to 401,007.18, 601,468.38 and 211,391.58

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Solution

The fourth proportional to 401,007.18, 601,468.38 and 211,391.58 is: 317,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,007.18 : 601,468.38 = 211,391.58 : x
  2. Step 2: Convert to fraction form
    401,007.18/601,468.38 = 211,391.58/x
  3. Step 3: Cross multiply
    401,007.18x = 601,468.38 × 211,391.58
  4. Step 4: Simplify right side
    401,007.18x = 127,145,351,168.24
  5. Step 5: Solve for x
    x = 127,145,351,168.24/401,007.18
  6. Step 6: Final answer
    x = 317,065.02

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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.