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Finding the Fourth Proportional to 408,054.10, 612,081.15 and 221,430.10

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Solution

The fourth proportional to 408,054.10, 612,081.15 and 221,430.10 is: 332,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.10 : 612,081.15 = 221,430.10 : x
  2. Step 2: Convert to fraction form
    408,054.10/612,081.15 = 221,430.10/x
  3. Step 3: Cross multiply
    408,054.10x = 612,081.15 × 221,430.10
  4. Step 4: Simplify right side
    408,054.10x = 135,533,190,252.62
  5. Step 5: Solve for x
    x = 135,533,190,252.62/408,054.10
  6. Step 6: Final answer
    x = 332,145.15

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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.