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Finding the Fourth Proportional to 413,470.42, 620,293.97 and 143,606.91

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Solution

The fourth proportional to 413,470.42, 620,293.97 and 143,606.91 is: 215,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,470.42 : 620,293.97 = 143,606.91 : x
  2. Step 2: Convert to fraction form
    413,470.42/620,293.97 = 143,606.91/x
  3. Step 3: Cross multiply
    413,470.42x = 620,293.97 × 143,606.91
  4. Step 4: Simplify right side
    413,470.42x = 89,078,500,323.33
  5. Step 5: Solve for x
    x = 89,078,500,323.33/413,470.42
  6. Step 6: Final answer
    x = 215,441.05

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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.