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Finding the Fourth Proportional to 309,695.25, 464,229.21 and 209,865.59

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Solution

The fourth proportional to 309,695.25, 464,229.21 and 209,865.59 is: 314,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,695.25 : 464,229.21 = 209,865.59 : x
  2. Step 2: Convert to fraction form
    309,695.25/464,229.21 = 209,865.59/x
  3. Step 3: Cross multiply
    309,695.25x = 464,229.21 × 209,865.59
  4. Step 4: Simplify right side
    309,695.25x = 97,425,737,051.88
  5. Step 5: Solve for x
    x = 97,425,737,051.88/309,695.25
  6. Step 6: Final answer
    x = 314,585.83

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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.