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Finding the Fourth Proportional to 511,678.46, 767,519.49 and 156,690.92

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Solution

The fourth proportional to 511,678.46, 767,519.49 and 156,690.92 is: 235,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,678.46 : 767,519.49 = 156,690.92 : x
  2. Step 2: Convert to fraction form
    511,678.46/767,519.49 = 156,690.92/x
  3. Step 3: Cross multiply
    511,678.46x = 767,519.49 × 156,690.92
  4. Step 4: Simplify right side
    511,678.46x = 120,263,331,168.43
  5. Step 5: Solve for x
    x = 120,263,331,168.43/511,678.46
  6. Step 6: Final answer
    x = 235,036.93

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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.