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Finding the Fourth Proportional to 401,215.28, 601,491.22 and 312,860.48

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Solution

The fourth proportional to 401,215.28, 601,491.22 and 312,860.48 is: 469,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,215.28 : 601,491.22 = 312,860.48 : x
  2. Step 2: Convert to fraction form
    401,215.28/601,491.22 = 312,860.48/x
  3. Step 3: Cross multiply
    401,215.28x = 601,491.22 × 312,860.48
  4. Step 4: Simplify right side
    401,215.28x = 188,182,828,015.38
  5. Step 5: Solve for x
    x = 188,182,828,015.38/401,215.28
  6. Step 6: Final answer
    x = 469,032.06

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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.