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Finding the Fourth Proportional to 414,842.40, 620,881.20 and 381,664.80

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Solution

The fourth proportional to 414,842.40, 620,881.20 and 381,664.80 is: 571,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,842.40 : 620,881.20 = 381,664.80 : x
  2. Step 2: Convert to fraction form
    414,842.40/620,881.20 = 381,664.80/x
  3. Step 3: Cross multiply
    414,842.40x = 620,881.20 × 381,664.80
  4. Step 4: Simplify right side
    414,842.40x = 236,968,499,021.76
  5. Step 5: Solve for x
    x = 236,968,499,021.76/414,842.40
  6. Step 6: Final answer
    x = 571,225.36

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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.