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Finding the Fourth Proportional to 651,872.34, 977,243.13 and 252,238.05

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Solution

The fourth proportional to 651,872.34, 977,243.13 and 252,238.05 is: 378,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,872.34 : 977,243.13 = 252,238.05 : x
  2. Step 2: Convert to fraction form
    651,872.34/977,243.13 = 252,238.05/x
  3. Step 3: Cross multiply
    651,872.34x = 977,243.13 × 252,238.05
  4. Step 4: Simplify right side
    651,872.34x = 246,497,901,487.10
  5. Step 5: Solve for x
    x = 246,497,901,487.10/651,872.34
  6. Step 6: Final answer
    x = 378,138.30

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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.