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Finding the Fourth Proportional to 511,109.91, 766,667.70 and 211,428.14

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Solution

The fourth proportional to 511,109.91, 766,667.70 and 211,428.14 is: 317,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,109.91 : 766,667.70 = 211,428.14 : x
  2. Step 2: Convert to fraction form
    511,109.91/766,667.70 = 211,428.14/x
  3. Step 3: Cross multiply
    511,109.91x = 766,667.70 × 211,428.14
  4. Step 4: Simplify right side
    511,109.91x = 162,095,121,975.74
  5. Step 5: Solve for x
    x = 162,095,121,975.74/511,109.91
  6. Step 6: Final answer
    x = 317,143.38

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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.