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Finding the Fourth Proportional to 378,226.77, 567,389.34 and 138,303.32

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Solution

The fourth proportional to 378,226.77, 567,389.34 and 138,303.32 is: 207,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,226.77 : 567,389.34 = 138,303.32 : x
  2. Step 2: Convert to fraction form
    378,226.77/567,389.34 = 138,303.32/x
  3. Step 3: Cross multiply
    378,226.77x = 567,389.34 × 138,303.32
  4. Step 4: Simplify right side
    378,226.77x = 78,471,826,617.66
  5. Step 5: Solve for x
    x = 78,471,826,617.66/378,226.77
  6. Step 6: Final answer
    x = 207,472.96

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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.