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Finding the Fourth Proportional to 568,455.64, 784,468.92 and 313,807

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Solution

The fourth proportional to 568,455.64, 784,468.92 and 313,807 is: 433,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,455.64 : 784,468.92 = 313,807 : x
  2. Step 2: Convert to fraction form
    568,455.64/784,468.92 = 313,807/x
  3. Step 3: Cross multiply
    568,455.64x = 784,468.92 × 313,807
  4. Step 4: Simplify right side
    568,455.64x = 246,171,838,378.44
  5. Step 5: Solve for x
    x = 246,171,838,378.44/568,455.64
  6. Step 6: Final answer
    x = 433,053.74

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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.