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Finding the Fourth Proportional to 561,157.74, 842,071.95 and 206,207.64

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Solution

The fourth proportional to 561,157.74, 842,071.95 and 206,207.64 is: 309,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,157.74 : 842,071.95 = 206,207.64 : x
  2. Step 2: Convert to fraction form
    561,157.74/842,071.95 = 206,207.64/x
  3. Step 3: Cross multiply
    561,157.74x = 842,071.95 × 206,207.64
  4. Step 4: Simplify right side
    561,157.74x = 173,641,669,519.70
  5. Step 5: Solve for x
    x = 173,641,669,519.70/561,157.74
  6. Step 6: Final answer
    x = 309,434.69

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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.