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Finding the Fourth Proportional to 378,798.76, 568,099.86 and 112,496.68

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Solution

The fourth proportional to 378,798.76, 568,099.86 and 112,496.68 is: 168,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,798.76 : 568,099.86 = 112,496.68 : x
  2. Step 2: Convert to fraction form
    378,798.76/568,099.86 = 112,496.68/x
  3. Step 3: Cross multiply
    378,798.76x = 568,099.86 × 112,496.68
  4. Step 4: Simplify right side
    378,798.76x = 63,909,348,158.46
  5. Step 5: Solve for x
    x = 63,909,348,158.46/378,798.76
  6. Step 6: Final answer
    x = 168,715.83

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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.