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Finding the Fourth Proportional to 378,475.71, 567,070.91 and 228,400.64

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Solution

The fourth proportional to 378,475.71, 567,070.91 and 228,400.64 is: 342,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,475.71 : 567,070.91 = 228,400.64 : x
  2. Step 2: Convert to fraction form
    378,475.71/567,070.91 = 228,400.64/x
  3. Step 3: Cross multiply
    378,475.71x = 567,070.91 × 228,400.64
  4. Step 4: Simplify right side
    378,475.71x = 129,519,358,769.38
  5. Step 5: Solve for x
    x = 129,519,358,769.38/378,475.71
  6. Step 6: Final answer
    x = 342,213.13

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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.