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Finding the Fourth Proportional to 352,276.80, 528,415.20 and 194,812.80

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Solution

The fourth proportional to 352,276.80, 528,415.20 and 194,812.80 is: 292,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,276.80 : 528,415.20 = 194,812.80 : x
  2. Step 2: Convert to fraction form
    352,276.80/528,415.20 = 194,812.80/x
  3. Step 3: Cross multiply
    352,276.80x = 528,415.20 × 194,812.80
  4. Step 4: Simplify right side
    352,276.80x = 102,942,044,674.56
  5. Step 5: Solve for x
    x = 102,942,044,674.56/352,276.80
  6. Step 6: Final answer
    x = 292,219.20

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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.