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Finding the Fourth Proportional to 653,921.36, 902,416.20 and 367,442

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Solution

The fourth proportional to 653,921.36, 902,416.20 and 367,442 is: 507,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,921.36 : 902,416.20 = 367,442 : x
  2. Step 2: Convert to fraction form
    653,921.36/902,416.20 = 367,442/x
  3. Step 3: Cross multiply
    653,921.36x = 902,416.20 × 367,442
  4. Step 4: Simplify right side
    653,921.36x = 331,585,613,360.40
  5. Step 5: Solve for x
    x = 331,585,613,360.40/653,921.36
  6. Step 6: Final answer
    x = 507,072.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.