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Finding the Fourth Proportional to 511,984.70, 766,227.45 and 448,999.10

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Solution

The fourth proportional to 511,984.70, 766,227.45 and 448,999.10 is: 671,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,984.70 : 766,227.45 = 448,999.10 : x
  2. Step 2: Convert to fraction form
    511,984.70/766,227.45 = 448,999.10/x
  3. Step 3: Cross multiply
    511,984.70x = 766,227.45 × 448,999.10
  4. Step 4: Simplify right side
    511,984.70x = 344,035,435,445.30
  5. Step 5: Solve for x
    x = 344,035,435,445.30/511,984.70
  6. Step 6: Final answer
    x = 671,964.29

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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.