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Finding the Fourth Proportional to 401,863.69, 602,694.02 and 149,005.21

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Solution

The fourth proportional to 401,863.69, 602,694.02 and 149,005.21 is: 223,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,863.69 : 602,694.02 = 149,005.21 : x
  2. Step 2: Convert to fraction form
    401,863.69/602,694.02 = 149,005.21/x
  3. Step 3: Cross multiply
    401,863.69x = 602,694.02 × 149,005.21
  4. Step 4: Simplify right side
    401,863.69x = 89,804,548,270.82
  5. Step 5: Solve for x
    x = 89,804,548,270.82/401,863.69
  6. Step 6: Final answer
    x = 223,470.17

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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.