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Finding the Fourth Proportional to 268,485.84, 402,911.92 and 142,120.98

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Solution

The fourth proportional to 268,485.84, 402,911.92 and 142,120.98 is: 213,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,485.84 : 402,911.92 = 142,120.98 : x
  2. Step 2: Convert to fraction form
    268,485.84/402,911.92 = 142,120.98/x
  3. Step 3: Cross multiply
    268,485.84x = 402,911.92 × 142,120.98
  4. Step 4: Simplify right side
    268,485.84x = 57,262,237,101.73
  5. Step 5: Solve for x
    x = 57,262,237,101.73/268,485.84
  6. Step 6: Final answer
    x = 213,278.43

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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.