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Finding the Fourth Proportional to 353,015.70, 529,786.05 and 142,655.46

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Solution

The fourth proportional to 353,015.70, 529,786.05 and 142,655.46 is: 214,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,015.70 : 529,786.05 = 142,655.46 : x
  2. Step 2: Convert to fraction form
    353,015.70/529,786.05 = 142,655.46/x
  3. Step 3: Cross multiply
    353,015.70x = 529,786.05 × 142,655.46
  4. Step 4: Simplify right side
    353,015.70x = 75,576,872,664.33
  5. Step 5: Solve for x
    x = 75,576,872,664.33/353,015.70
  6. Step 6: Final answer
    x = 214,089.27

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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.