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Finding the Fourth Proportional to 561,857.67, 842,764.16 and 309,638.25

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Solution

The fourth proportional to 561,857.67, 842,764.16 and 309,638.25 is: 464,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,857.67 : 842,764.16 = 309,638.25 : x
  2. Step 2: Convert to fraction form
    561,857.67/842,764.16 = 309,638.25/x
  3. Step 3: Cross multiply
    561,857.67x = 842,764.16 × 309,638.25
  4. Step 4: Simplify right side
    561,857.67x = 260,952,020,439.22
  5. Step 5: Solve for x
    x = 260,952,020,439.22/561,857.67
  6. Step 6: Final answer
    x = 464,445.06

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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.