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Finding the Fourth Proportional to 407,321.10, 610,784.31 and 238,896.57

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Solution

The fourth proportional to 407,321.10, 610,784.31 and 238,896.57 is: 358,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,321.10 : 610,784.31 = 238,896.57 : x
  2. Step 2: Convert to fraction form
    407,321.10/610,784.31 = 238,896.57/x
  3. Step 3: Cross multiply
    407,321.10x = 610,784.31 × 238,896.57
  4. Step 4: Simplify right side
    407,321.10x = 145,914,276,668.82
  5. Step 5: Solve for x
    x = 145,914,276,668.82/407,321.10
  6. Step 6: Final answer
    x = 358,229.11

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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.