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Finding the Fourth Proportional to 511,889.12, 767,505.61 and 212,576.30

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Solution

The fourth proportional to 511,889.12, 767,505.61 and 212,576.30 is: 318,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,889.12 : 767,505.61 = 212,576.30 : x
  2. Step 2: Convert to fraction form
    511,889.12/767,505.61 = 212,576.30/x
  3. Step 3: Cross multiply
    511,889.12x = 767,505.61 × 212,576.30
  4. Step 4: Simplify right side
    511,889.12x = 163,153,502,803.04
  5. Step 5: Solve for x
    x = 163,153,502,803.04/511,889.12
  6. Step 6: Final answer
    x = 318,728.21

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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.