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Finding the Fourth Proportional to 315,118.68, 434,865.13 and 171,881.80

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Solution

The fourth proportional to 315,118.68, 434,865.13 and 171,881.80 is: 237,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,118.68 : 434,865.13 = 171,881.80 : x
  2. Step 2: Convert to fraction form
    315,118.68/434,865.13 = 171,881.80/x
  3. Step 3: Cross multiply
    315,118.68x = 434,865.13 × 171,881.80
  4. Step 4: Simplify right side
    315,118.68x = 74,745,400,268.18
  5. Step 5: Solve for x
    x = 74,745,400,268.18/315,118.68
  6. Step 6: Final answer
    x = 237,197.62

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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.