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Finding the Fourth Proportional to 460,884.36, 691,447.50 and 145,351.56

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Solution

The fourth proportional to 460,884.36, 691,447.50 and 145,351.56 is: 218,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,884.36 : 691,447.50 = 145,351.56 : x
  2. Step 2: Convert to fraction form
    460,884.36/691,447.50 = 145,351.56/x
  3. Step 3: Cross multiply
    460,884.36x = 691,447.50 × 145,351.56
  4. Step 4: Simplify right side
    460,884.36x = 100,502,972,783.10
  5. Step 5: Solve for x
    x = 100,502,972,783.10/460,884.36
  6. Step 6: Final answer
    x = 218,065.49

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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.