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Finding the Fourth Proportional to 304,592, 420,278.64 and 197,147.12

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Solution

The fourth proportional to 304,592, 420,278.64 and 197,147.12 is: 272,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,592 : 420,278.64 = 197,147.12 : x
  2. Step 2: Convert to fraction form
    304,592/420,278.64 = 197,147.12/x
  3. Step 3: Cross multiply
    304,592x = 420,278.64 × 197,147.12
  4. Step 4: Simplify right side
    304,592x = 82,856,723,473.52
  5. Step 5: Solve for x
    x = 82,856,723,473.52/304,592
  6. Step 6: Final answer
    x = 272,025.28

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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.