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Finding the Fourth Proportional to 414,457.76, 621,661.26 and 243,773.87

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Solution

The fourth proportional to 414,457.76, 621,661.26 and 243,773.87 is: 365,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,457.76 : 621,661.26 = 243,773.87 : x
  2. Step 2: Convert to fraction form
    414,457.76/621,661.26 = 243,773.87/x
  3. Step 3: Cross multiply
    414,457.76x = 621,661.26 × 243,773.87
  4. Step 4: Simplify right side
    414,457.76x = 151,544,768,985.12
  5. Step 5: Solve for x
    x = 151,544,768,985.12/414,457.76
  6. Step 6: Final answer
    x = 365,645.87

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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.