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Finding the Fourth Proportional to 384,498.77, 576,246.51 and 278,240.64

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Solution

The fourth proportional to 384,498.77, 576,246.51 and 278,240.64 is: 416,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,498.77 : 576,246.51 = 278,240.64 : x
  2. Step 2: Convert to fraction form
    384,498.77/576,246.51 = 278,240.64/x
  3. Step 3: Cross multiply
    384,498.77x = 576,246.51 × 278,240.64
  4. Step 4: Simplify right side
    384,498.77x = 160,335,197,740.17
  5. Step 5: Solve for x
    x = 160,335,197,740.17/384,498.77
  6. Step 6: Final answer
    x = 416,997.95

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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.