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Finding the Fourth Proportional to 417,128, 575,633.22 and 226,136.48

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Solution

The fourth proportional to 417,128, 575,633.22 and 226,136.48 is: 312,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,128 : 575,633.22 = 226,136.48 : x
  2. Step 2: Convert to fraction form
    417,128/575,633.22 = 226,136.48/x
  3. Step 3: Cross multiply
    417,128x = 575,633.22 × 226,136.48
  4. Step 4: Simplify right side
    417,128x = 130,171,670,141.87
  5. Step 5: Solve for x
    x = 130,171,670,141.87/417,128
  6. Step 6: Final answer
    x = 312,066.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.