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Finding the Fourth Proportional to 378,410.51, 566,973.45 and 228,335.46

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Solution

The fourth proportional to 378,410.51, 566,973.45 and 228,335.46 is: 342,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,410.51 : 566,973.45 = 228,335.46 : x
  2. Step 2: Convert to fraction form
    378,410.51/566,973.45 = 228,335.46/x
  3. Step 3: Cross multiply
    378,410.51x = 566,973.45 × 228,335.46
  4. Step 4: Simplify right side
    378,410.51x = 129,460,140,745.19
  5. Step 5: Solve for x
    x = 129,460,140,745.19/378,410.51
  6. Step 6: Final answer
    x = 342,115.61

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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.