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Finding the Fourth Proportional to 511,872.12, 767,479.44 and 212,559.24

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Solution

The fourth proportional to 511,872.12, 767,479.44 and 212,559.24 is: 318,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872.12 : 767,479.44 = 212,559.24 : x
  2. Step 2: Convert to fraction form
    511,872.12/767,479.44 = 212,559.24/x
  3. Step 3: Cross multiply
    511,872.12x = 767,479.44 × 212,559.24
  4. Step 4: Simplify right side
    511,872.12x = 163,134,846,482.03
  5. Step 5: Solve for x
    x = 163,134,846,482.03/511,872.12
  6. Step 6: Final answer
    x = 318,702.35

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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.