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Finding the Fourth Proportional to 421,645.34, 581,902.14 and 240,361.58

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Solution

The fourth proportional to 421,645.34, 581,902.14 and 240,361.58 is: 331,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,645.34 : 581,902.14 = 240,361.58 : x
  2. Step 2: Convert to fraction form
    421,645.34/581,902.14 = 240,361.58/x
  3. Step 3: Cross multiply
    421,645.34x = 581,902.14 × 240,361.58
  4. Step 4: Simplify right side
    421,645.34x = 139,866,917,775.78
  5. Step 5: Solve for x
    x = 139,866,917,775.78/421,645.34
  6. Step 6: Final answer
    x = 331,716.98

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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.