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Finding the Fourth Proportional to 293,643.46, 405,221.18 and 171,128.04

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Solution

The fourth proportional to 293,643.46, 405,221.18 and 171,128.04 is: 236,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,643.46 : 405,221.18 = 171,128.04 : x
  2. Step 2: Convert to fraction form
    293,643.46/405,221.18 = 171,128.04/x
  3. Step 3: Cross multiply
    293,643.46x = 405,221.18 × 171,128.04
  4. Step 4: Simplify right side
    293,643.46x = 69,344,706,299.89
  5. Step 5: Solve for x
    x = 69,344,706,299.89/293,643.46
  6. Step 6: Final answer
    x = 236,152.74

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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.