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Finding the Fourth Proportional to 415,007.30, 622,425.90 and 115,412.60

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Solution

The fourth proportional to 415,007.30, 622,425.90 and 115,412.60 is: 173,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,007.30 : 622,425.90 = 115,412.60 : x
  2. Step 2: Convert to fraction form
    415,007.30/622,425.90 = 115,412.60/x
  3. Step 3: Cross multiply
    415,007.30x = 622,425.90 × 115,412.60
  4. Step 4: Simplify right side
    415,007.30x = 71,835,791,426.34
  5. Step 5: Solve for x
    x = 71,835,791,426.34/415,007.30
  6. Step 6: Final answer
    x = 173,095.25

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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.