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Finding the Fourth Proportional to 414,459.70, 621,664.17 and 243,775.80

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Solution

The fourth proportional to 414,459.70, 621,664.17 and 243,775.80 is: 365,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,459.70 : 621,664.17 = 243,775.80 : x
  2. Step 2: Convert to fraction form
    414,459.70/621,664.17 = 243,775.80/x
  3. Step 3: Cross multiply
    414,459.70x = 621,664.17 × 243,775.80
  4. Step 4: Simplify right side
    414,459.70x = 151,546,680,373.09
  5. Step 5: Solve for x
    x = 151,546,680,373.09/414,459.70
  6. Step 6: Final answer
    x = 365,648.77

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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.