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Finding the Fourth Proportional to 315,172.97, 434,938.10 and 171,932.97

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Solution

The fourth proportional to 315,172.97, 434,938.10 and 171,932.97 is: 237,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172.97 : 434,938.10 = 171,932.97 : x
  2. Step 2: Convert to fraction form
    315,172.97/434,938.10 = 171,932.97/x
  3. Step 3: Cross multiply
    315,172.97x = 434,938.10 × 171,932.97
  4. Step 4: Simplify right side
    315,172.97x = 74,780,198,439.49
  5. Step 5: Solve for x
    x = 74,780,198,439.49/315,172.97
  6. Step 6: Final answer
    x = 237,267.17

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1.5x scale

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.