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Finding the Fourth Proportional to 511,999.14, 767,998.68 and 138,022.14

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Solution

The fourth proportional to 511,999.14, 767,998.68 and 138,022.14 is: 207,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,999.14 : 767,998.68 = 138,022.14 : x
  2. Step 2: Convert to fraction form
    511,999.14/767,998.68 = 138,022.14/x
  3. Step 3: Cross multiply
    511,999.14x = 767,998.68 × 138,022.14
  4. Step 4: Simplify right side
    511,999.14x = 106,000,821,330.78
  5. Step 5: Solve for x
    x = 106,000,821,330.78/511,999.14
  6. Step 6: Final answer
    x = 207,033.20

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1.5x scale

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.