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Finding the Fourth Proportional to 421,161.37, 631,706.56 and 181,265.58

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Solution

The fourth proportional to 421,161.37, 631,706.56 and 181,265.58 is: 271,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,161.37 : 631,706.56 = 181,265.58 : x
  2. Step 2: Convert to fraction form
    421,161.37/631,706.56 = 181,265.58/x
  3. Step 3: Cross multiply
    421,161.37x = 631,706.56 × 181,265.58
  4. Step 4: Simplify right side
    421,161.37x = 114,506,655,535.04
  5. Step 5: Solve for x
    x = 114,506,655,535.04/421,161.37
  6. Step 6: Final answer
    x = 271,883.09

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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.