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Finding the Fourth Proportional to 413,678.85, 620,705.40 and 211,170.33

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Solution

The fourth proportional to 413,678.85, 620,705.40 and 211,170.33 is: 316,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,678.85 : 620,705.40 = 211,170.33 : x
  2. Step 2: Convert to fraction form
    413,678.85/620,705.40 = 211,170.33/x
  3. Step 3: Cross multiply
    413,678.85x = 620,705.40 × 211,170.33
  4. Step 4: Simplify right side
    413,678.85x = 131,074,564,150.78
  5. Step 5: Solve for x
    x = 131,074,564,150.78/413,678.85
  6. Step 6: Final answer
    x = 316,851.02

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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.