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Finding the Fourth Proportional to 315,188.40, 434,951.39 and 171,948.41

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Solution

The fourth proportional to 315,188.40, 434,951.39 and 171,948.41 is: 237,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,188.40 : 434,951.39 = 171,948.41 : x
  2. Step 2: Convert to fraction form
    315,188.40/434,951.39 = 171,948.41/x
  3. Step 3: Cross multiply
    315,188.40x = 434,951.39 × 171,948.41
  4. Step 4: Simplify right side
    315,188.40x = 74,789,198,856.76
  5. Step 5: Solve for x
    x = 74,789,198,856.76/315,188.40
  6. Step 6: Final answer
    x = 237,284.11

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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.