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Finding the Fourth Proportional to 401,407, 601,935.50 and 135,096

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Solution

The fourth proportional to 401,407, 601,935.50 and 135,096 is: 202,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,407 : 601,935.50 = 135,096 : x
  2. Step 2: Convert to fraction form
    401,407/601,935.50 = 135,096/x
  3. Step 3: Cross multiply
    401,407x = 601,935.50 × 135,096
  4. Step 4: Simplify right side
    401,407x = 81,319,078,308
  5. Step 5: Solve for x
    x = 81,319,078,308/401,407
  6. Step 6: Final answer
    x = 202,585.10

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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.