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Finding the Fourth Proportional to 300,240.40, 414,328.68 and 166,105.36

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Solution

The fourth proportional to 300,240.40, 414,328.68 and 166,105.36 is: 229,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,240.40 : 414,328.68 = 166,105.36 : x
  2. Step 2: Convert to fraction form
    300,240.40/414,328.68 = 166,105.36/x
  3. Step 3: Cross multiply
    300,240.40x = 414,328.68 × 166,105.36
  4. Step 4: Simplify right side
    300,240.40x = 68,822,214,549.72
  5. Step 5: Solve for x
    x = 68,822,214,549.72/300,240.40
  6. Step 6: Final answer
    x = 229,223.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.