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Finding the Fourth Proportional to 315,091.68, 434,816.28 and 171,854.52

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Solution

The fourth proportional to 315,091.68, 434,816.28 and 171,854.52 is: 237,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091.68 : 434,816.28 = 171,854.52 : x
  2. Step 2: Convert to fraction form
    315,091.68/434,816.28 = 171,854.52/x
  3. Step 3: Cross multiply
    315,091.68x = 434,816.28 × 171,854.52
  4. Step 4: Simplify right side
    315,091.68x = 74,725,143,087.59
  5. Step 5: Solve for x
    x = 74,725,143,087.59/315,091.68
  6. Step 6: Final answer
    x = 237,153.65

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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.