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Finding the Fourth Proportional to 315,208.64, 434,972.76 and 171,960.14

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Solution

The fourth proportional to 315,208.64, 434,972.76 and 171,960.14 is: 237,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,208.64 : 434,972.76 = 171,960.14 : x
  2. Step 2: Convert to fraction form
    315,208.64/434,972.76 = 171,960.14/x
  3. Step 3: Cross multiply
    315,208.64x = 434,972.76 × 171,960.14
  4. Step 4: Simplify right side
    315,208.64x = 74,797,976,705.79
  5. Step 5: Solve for x
    x = 74,797,976,705.79/315,208.64
  6. Step 6: Final answer
    x = 237,296.72

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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.