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Finding the Fourth Proportional to 291,084.54, 401,695.11 and 163,760.94

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Solution

The fourth proportional to 291,084.54, 401,695.11 and 163,760.94 is: 225,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,084.54 : 401,695.11 = 163,760.94 : x
  2. Step 2: Convert to fraction form
    291,084.54/401,695.11 = 163,760.94/x
  3. Step 3: Cross multiply
    291,084.54x = 401,695.11 × 163,760.94
  4. Step 4: Simplify right side
    291,084.54x = 65,781,968,807.00
  5. Step 5: Solve for x
    x = 65,781,968,807.00/291,084.54
  6. Step 6: Final answer
    x = 225,989.22

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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.