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Finding the Fourth Proportional to 413,657.14, 620,196.25 and 211,315.90

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Solution

The fourth proportional to 413,657.14, 620,196.25 and 211,315.90 is: 316,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,657.14 : 620,196.25 = 211,315.90 : x
  2. Step 2: Convert to fraction form
    413,657.14/620,196.25 = 211,315.90/x
  3. Step 3: Cross multiply
    413,657.14x = 620,196.25 × 211,315.90
  4. Step 4: Simplify right side
    413,657.14x = 131,057,324,587.81
  5. Step 5: Solve for x
    x = 131,057,324,587.81/413,657.14
  6. Step 6: Final answer
    x = 316,825.97

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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.