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Finding the Fourth Proportional to 378,727.68, 567,516.76 and 278,410

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Solution

The fourth proportional to 378,727.68, 567,516.76 and 278,410 is: 417,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,727.68 : 567,516.76 = 278,410 : x
  2. Step 2: Convert to fraction form
    378,727.68/567,516.76 = 278,410/x
  3. Step 3: Cross multiply
    378,727.68x = 567,516.76 × 278,410
  4. Step 4: Simplify right side
    378,727.68x = 158,002,341,151.60
  5. Step 5: Solve for x
    x = 158,002,341,151.60/378,727.68
  6. Step 6: Final answer
    x = 417,192.48

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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.