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Finding the Fourth Proportional to 291,863.42, 402,781.53 and 169,346.54

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Solution

The fourth proportional to 291,863.42, 402,781.53 and 169,346.54 is: 233,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,863.42 : 402,781.53 = 169,346.54 : x
  2. Step 2: Convert to fraction form
    291,863.42/402,781.53 = 169,346.54/x
  3. Step 3: Cross multiply
    291,863.42x = 402,781.53 × 169,346.54
  4. Step 4: Simplify right side
    291,863.42x = 68,209,658,481.41
  5. Step 5: Solve for x
    x = 68,209,658,481.41/291,863.42
  6. Step 6: Final answer
    x = 233,704.03

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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.