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Finding the Fourth Proportional to 407,321.40, 610,982.10 and 265,606.20

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Solution

The fourth proportional to 407,321.40, 610,982.10 and 265,606.20 is: 398,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,321.40 : 610,982.10 = 265,606.20 : x
  2. Step 2: Convert to fraction form
    407,321.40/610,982.10 = 265,606.20/x
  3. Step 3: Cross multiply
    407,321.40x = 610,982.10 × 265,606.20
  4. Step 4: Simplify right side
    407,321.40x = 162,280,633,849.02
  5. Step 5: Solve for x
    x = 162,280,633,849.02/407,321.40
  6. Step 6: Final answer
    x = 398,409.30

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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.