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Finding the Fourth Proportional to 382,014.20, 572,602.80 and 192,171.80

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Solution

The fourth proportional to 382,014.20, 572,602.80 and 192,171.80 is: 288,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,014.20 : 572,602.80 = 192,171.80 : x
  2. Step 2: Convert to fraction form
    382,014.20/572,602.80 = 192,171.80/x
  3. Step 3: Cross multiply
    382,014.20x = 572,602.80 × 192,171.80
  4. Step 4: Simplify right side
    382,014.20x = 110,038,110,761.04
  5. Step 5: Solve for x
    x = 110,038,110,761.04/382,014.20
  6. Step 6: Final answer
    x = 288,047.17

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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.