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Finding the Fourth Proportional to 291,314.36, 402,021.42 and 163,994.60

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Solution

The fourth proportional to 291,314.36, 402,021.42 and 163,994.60 is: 226,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314.36 : 402,021.42 = 163,994.60 : x
  2. Step 2: Convert to fraction form
    291,314.36/402,021.42 = 163,994.60/x
  3. Step 3: Cross multiply
    291,314.36x = 402,021.42 × 163,994.60
  4. Step 4: Simplify right side
    291,314.36x = 65,929,341,964.33
  5. Step 5: Solve for x
    x = 65,929,341,964.33/291,314.36
  6. Step 6: Final answer
    x = 226,316.83

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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.