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Finding the Fourth Proportional to 291,088.29, 401,701.78 and 162,023.98

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Solution

The fourth proportional to 291,088.29, 401,701.78 and 162,023.98 is: 223,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,088.29 : 401,701.78 = 162,023.98 : x
  2. Step 2: Convert to fraction form
    291,088.29/401,701.78 = 162,023.98/x
  3. Step 3: Cross multiply
    291,088.29x = 401,701.78 × 162,023.98
  4. Step 4: Simplify right side
    291,088.29x = 65,085,321,168.68
  5. Step 5: Solve for x
    x = 65,085,321,168.68/291,088.29
  6. Step 6: Final answer
    x = 223,593.06

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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.