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Finding the Fourth Proportional to 563,760, 778,057.92 and 325,296

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Solution

The fourth proportional to 563,760, 778,057.92 and 325,296 is: 448,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,760 : 778,057.92 = 325,296 : x
  2. Step 2: Convert to fraction form
    563,760/778,057.92 = 325,296/x
  3. Step 3: Cross multiply
    563,760x = 778,057.92 × 325,296
  4. Step 4: Simplify right side
    563,760x = 253,099,129,144.32
  5. Step 5: Solve for x
    x = 253,099,129,144.32/563,760
  6. Step 6: Final answer
    x = 448,948.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.