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Finding the Fourth Proportional to 353,020.20, 529,792.80 and 142,659.96

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Solution

The fourth proportional to 353,020.20, 529,792.80 and 142,659.96 is: 214,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,020.20 : 529,792.80 = 142,659.96 : x
  2. Step 2: Convert to fraction form
    353,020.20/529,792.80 = 142,659.96/x
  3. Step 3: Cross multiply
    353,020.20x = 529,792.80 × 142,659.96
  4. Step 4: Simplify right side
    353,020.20x = 75,580,219,656.29
  5. Step 5: Solve for x
    x = 75,580,219,656.29/353,020.20
  6. Step 6: Final answer
    x = 214,096.02

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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.