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Finding the Fourth Proportional to 415,200.90, 622,705.77 and 162,487.38

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Solution

The fourth proportional to 415,200.90, 622,705.77 and 162,487.38 is: 243,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.90 : 622,705.77 = 162,487.38 : x
  2. Step 2: Convert to fraction form
    415,200.90/622,705.77 = 162,487.38/x
  3. Step 3: Cross multiply
    415,200.90x = 622,705.77 × 162,487.38
  4. Step 4: Simplify right side
    415,200.90x = 101,181,829,078.18
  5. Step 5: Solve for x
    x = 101,181,829,078.18/415,200.90
  6. Step 6: Final answer
    x = 243,693.67

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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.