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Finding the Fourth Proportional to 511,405.64, 767,139.22 and 156,422.74

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Solution

The fourth proportional to 511,405.64, 767,139.22 and 156,422.74 is: 234,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,405.64 : 767,139.22 = 156,422.74 : x
  2. Step 2: Convert to fraction form
    511,405.64/767,139.22 = 156,422.74/x
  3. Step 3: Cross multiply
    511,405.64x = 767,139.22 × 156,422.74
  4. Step 4: Simplify right side
    511,405.64x = 119,998,016,444.96
  5. Step 5: Solve for x
    x = 119,998,016,444.96/511,405.64
  6. Step 6: Final answer
    x = 234,643.51

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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.