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Finding the Fourth Proportional to 304,899.18, 420,907.14 and 214,332.78

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Solution

The fourth proportional to 304,899.18, 420,907.14 and 214,332.78 is: 295,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,899.18 : 420,907.14 = 214,332.78 : x
  2. Step 2: Convert to fraction form
    304,899.18/420,907.14 = 214,332.78/x
  3. Step 3: Cross multiply
    304,899.18x = 420,907.14 × 214,332.78
  4. Step 4: Simplify right side
    304,899.18x = 90,214,197,438.05
  5. Step 5: Solve for x
    x = 90,214,197,438.05/304,899.18
  6. Step 6: Final answer
    x = 295,882.06

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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.