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Finding the Fourth Proportional to 352,754.20, 528,353.70 and 306,098.20

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Solution

The fourth proportional to 352,754.20, 528,353.70 and 306,098.20 is: 458,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,754.20 : 528,353.70 = 306,098.20 : x
  2. Step 2: Convert to fraction form
    352,754.20/528,353.70 = 306,098.20/x
  3. Step 3: Cross multiply
    352,754.20x = 528,353.70 × 306,098.20
  4. Step 4: Simplify right side
    352,754.20x = 161,728,116,533.34
  5. Step 5: Solve for x
    x = 161,728,116,533.34/352,754.20
  6. Step 6: Final answer
    x = 458,472.55

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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.