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Finding the Fourth Proportional to 511,431.94, 767,120.30 and 156,446.00

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Solution

The fourth proportional to 511,431.94, 767,120.30 and 156,446.00 is: 234,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,431.94 : 767,120.30 = 156,446.00 : x
  2. Step 2: Convert to fraction form
    511,431.94/767,120.30 = 156,446.00/x
  3. Step 3: Cross multiply
    511,431.94x = 767,120.30 × 156,446.00
  4. Step 4: Simplify right side
    511,431.94x = 120,012,897,835.97
  5. Step 5: Solve for x
    x = 120,012,897,835.97/511,431.94
  6. Step 6: Final answer
    x = 234,660.55

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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.