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Finding the Fourth Proportional to 511,103.70, 767,011.28 and 211,585.84

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Solution

The fourth proportional to 511,103.70, 767,011.28 and 211,585.84 is: 317,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,103.70 : 767,011.28 = 211,585.84 : x
  2. Step 2: Convert to fraction form
    511,103.70/767,011.28 = 211,585.84/x
  3. Step 3: Cross multiply
    511,103.70x = 767,011.28 × 211,585.84
  4. Step 4: Simplify right side
    511,103.70x = 162,288,722,992.82
  5. Step 5: Solve for x
    x = 162,288,722,992.82/511,103.70
  6. Step 6: Final answer
    x = 317,526.02

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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.