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Finding the Fourth Proportional to 401,649.54, 602,053.94 and 135,318.04

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Solution

The fourth proportional to 401,649.54, 602,053.94 and 135,318.04 is: 202,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,649.54 : 602,053.94 = 135,318.04 : x
  2. Step 2: Convert to fraction form
    401,649.54/602,053.94 = 135,318.04/x
  3. Step 3: Cross multiply
    401,649.54x = 602,053.94 × 135,318.04
  4. Step 4: Simplify right side
    401,649.54x = 81,468,759,135.08
  5. Step 5: Solve for x
    x = 81,468,759,135.08/401,649.54
  6. Step 6: Final answer
    x = 202,835.43

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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.