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Finding the Fourth Proportional to 421,160.49, 631,705.25 and 181,264.71

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Solution

The fourth proportional to 421,160.49, 631,705.25 and 181,264.71 is: 271,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,160.49 : 631,705.25 = 181,264.71 : x
  2. Step 2: Convert to fraction form
    421,160.49/631,705.25 = 181,264.71/x
  3. Step 3: Cross multiply
    421,160.49x = 631,705.25 × 181,264.71
  4. Step 4: Simplify right side
    421,160.49x = 114,505,864,881.88
  5. Step 5: Solve for x
    x = 114,505,864,881.88/421,160.49
  6. Step 6: Final answer
    x = 271,881.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.