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Finding the Fourth Proportional to 414,360.80, 621,541.20 and 164,914.40

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Solution

The fourth proportional to 414,360.80, 621,541.20 and 164,914.40 is: 247,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,360.80 : 621,541.20 = 164,914.40 : x
  2. Step 2: Convert to fraction form
    414,360.80/621,541.20 = 164,914.40/x
  3. Step 3: Cross multiply
    414,360.80x = 621,541.20 × 164,914.40
  4. Step 4: Simplify right side
    414,360.80x = 102,501,094,073.28
  5. Step 5: Solve for x
    x = 102,501,094,073.28/414,360.80
  6. Step 6: Final answer
    x = 247,371.60

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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.