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Finding the Fourth Proportional to 511,912.61, 767,869.25 and 212,312.74

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Solution

The fourth proportional to 511,912.61, 767,869.25 and 212,312.74 is: 318,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,912.61 : 767,869.25 = 212,312.74 : x
  2. Step 2: Convert to fraction form
    511,912.61/767,869.25 = 212,312.74/x
  3. Step 3: Cross multiply
    511,912.61x = 767,869.25 × 212,312.74
  4. Step 4: Simplify right side
    511,912.61x = 163,028,425,123.69
  5. Step 5: Solve for x
    x = 163,028,425,123.69/511,912.61
  6. Step 6: Final answer
    x = 318,469.25

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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.