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Finding the Fourth Proportional to 511,735.48, 767,274.75 and 212,422.66

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Solution

The fourth proportional to 511,735.48, 767,274.75 and 212,422.66 is: 318,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,735.48 : 767,274.75 = 212,422.66 : x
  2. Step 2: Convert to fraction form
    511,735.48/767,274.75 = 212,422.66/x
  3. Step 3: Cross multiply
    511,735.48x = 767,274.75 × 212,422.66
  4. Step 4: Simplify right side
    511,735.48x = 162,986,543,345.84
  5. Step 5: Solve for x
    x = 162,986,543,345.84/511,735.48
  6. Step 6: Final answer
    x = 318,497.64

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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.