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Finding the Fourth Proportional to 511,883.12, 767,496.62 and 212,570.30

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Solution

The fourth proportional to 511,883.12, 767,496.62 and 212,570.30 is: 318,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,883.12 : 767,496.62 = 212,570.30 : x
  2. Step 2: Convert to fraction form
    511,883.12/767,496.62 = 212,570.30/x
  3. Step 3: Cross multiply
    511,883.12x = 767,496.62 × 212,570.30
  4. Step 4: Simplify right side
    511,883.12x = 163,146,981,862.05
  5. Step 5: Solve for x
    x = 163,146,981,862.05/511,883.12
  6. Step 6: Final answer
    x = 318,719.21

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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.