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Finding the Fourth Proportional to 401,456.87, 602,185.76 and 135,195.08

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Solution

The fourth proportional to 401,456.87, 602,185.76 and 135,195.08 is: 202,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,456.87 : 602,185.76 = 135,195.08 : x
  2. Step 2: Convert to fraction form
    401,456.87/602,185.76 = 135,195.08/x
  3. Step 3: Cross multiply
    401,456.87x = 602,185.76 × 135,195.08
  4. Step 4: Simplify right side
    401,456.87x = 81,412,548,311.16
  5. Step 5: Solve for x
    x = 81,412,548,311.16/401,456.87
  6. Step 6: Final answer
    x = 202,792.77

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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.