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Finding the Fourth Proportional to 413,559.96, 620,340.21 and 133,077.21

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Solution

The fourth proportional to 413,559.96, 620,340.21 and 133,077.21 is: 199,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,559.96 : 620,340.21 = 133,077.21 : x
  2. Step 2: Convert to fraction form
    413,559.96/620,340.21 = 133,077.21/x
  3. Step 3: Cross multiply
    413,559.96x = 620,340.21 × 133,077.21
  4. Step 4: Simplify right side
    413,559.96x = 82,553,144,397.61
  5. Step 5: Solve for x
    x = 82,553,144,397.61/413,559.96
  6. Step 6: Final answer
    x = 199,615.90

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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.