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Finding the Fourth Proportional to 311,993.14, 430,551.75 and 168,754.18

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Solution

The fourth proportional to 311,993.14, 430,551.75 and 168,754.18 is: 232,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,993.14 : 430,551.75 = 168,754.18 : x
  2. Step 2: Convert to fraction form
    311,993.14/430,551.75 = 168,754.18/x
  3. Step 3: Cross multiply
    311,993.14x = 430,551.75 × 168,754.18
  4. Step 4: Simplify right side
    311,993.14x = 72,657,407,518.82
  5. Step 5: Solve for x
    x = 72,657,407,518.82/311,993.14
  6. Step 6: Final answer
    x = 232,881.43

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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.