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Finding the Fourth Proportional to 352,764.80, 528,628.80 and 142,035.20

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Solution

The fourth proportional to 352,764.80, 528,628.80 and 142,035.20 is: 212,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,764.80 : 528,628.80 = 142,035.20 : x
  2. Step 2: Convert to fraction form
    352,764.80/528,628.80 = 142,035.20/x
  3. Step 3: Cross multiply
    352,764.80x = 528,628.80 × 142,035.20
  4. Step 4: Simplify right side
    352,764.80x = 75,083,897,333.76
  5. Step 5: Solve for x
    x = 75,083,897,333.76/352,764.80
  6. Step 6: Final answer
    x = 212,844.07

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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.