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Finding the Fourth Proportional to 401,562.49, 602,310.93 and 135,317.11

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Solution

The fourth proportional to 401,562.49, 602,310.93 and 135,317.11 is: 202,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,562.49 : 602,310.93 = 135,317.11 : x
  2. Step 2: Convert to fraction form
    401,562.49/602,310.93 = 135,317.11/x
  3. Step 3: Cross multiply
    401,562.49x = 602,310.93 × 135,317.11
  4. Step 4: Simplify right side
    401,562.49x = 81,502,974,369.01
  5. Step 5: Solve for x
    x = 81,502,974,369.01/401,562.49
  6. Step 6: Final answer
    x = 202,964.61

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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.