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Finding the Fourth Proportional to 353,109.20, 529,469.40 and 142,509.20

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Solution

The fourth proportional to 353,109.20, 529,469.40 and 142,509.20 is: 213,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,109.20 : 529,469.40 = 142,509.20 : x
  2. Step 2: Convert to fraction form
    353,109.20/529,469.40 = 142,509.20/x
  3. Step 3: Cross multiply
    353,109.20x = 529,469.40 × 142,509.20
  4. Step 4: Simplify right side
    353,109.20x = 75,454,260,618.48
  5. Step 5: Solve for x
    x = 75,454,260,618.48/353,109.20
  6. Step 6: Final answer
    x = 213,685.34

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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.