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Finding the Fourth Proportional to 511,616.86, 767,097.24 and 212,304.04

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Solution

The fourth proportional to 511,616.86, 767,097.24 and 212,304.04 is: 318,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,616.86 : 767,097.24 = 212,304.04 : x
  2. Step 2: Convert to fraction form
    511,616.86/767,097.24 = 212,304.04/x
  3. Step 3: Cross multiply
    511,616.86x = 767,097.24 × 212,304.04
  4. Step 4: Simplify right side
    511,616.86x = 162,857,840,410.97
  5. Step 5: Solve for x
    x = 162,857,840,410.97/511,616.86
  6. Step 6: Final answer
    x = 318,319.93

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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.