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Finding the Fourth Proportional to 401,650.74, 602,055.78 and 135,319.20

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Solution

The fourth proportional to 401,650.74, 602,055.78 and 135,319.20 is: 202,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,650.74 : 602,055.78 = 135,319.20 : x
  2. Step 2: Convert to fraction form
    401,650.74/602,055.78 = 135,319.20/x
  3. Step 3: Cross multiply
    401,650.74x = 602,055.78 × 135,319.20
  4. Step 4: Simplify right side
    401,650.74x = 81,469,706,504.98
  5. Step 5: Solve for x
    x = 81,469,706,504.98/401,650.74
  6. Step 6: Final answer
    x = 202,837.19

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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.