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Finding the Fourth Proportional to 407,190.48, 610,779.24 and 126,723.12

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Solution

The fourth proportional to 407,190.48, 610,779.24 and 126,723.12 is: 190,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,190.48 : 610,779.24 = 126,723.12 : x
  2. Step 2: Convert to fraction form
    407,190.48/610,779.24 = 126,723.12/x
  3. Step 3: Cross multiply
    407,190.48x = 610,779.24 × 126,723.12
  4. Step 4: Simplify right side
    407,190.48x = 77,399,850,924.03
  5. Step 5: Solve for x
    x = 77,399,850,924.03/407,190.48
  6. Step 6: Final answer
    x = 190,082.66

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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.