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Finding the Fourth Proportional to 547,206.80, 820,810.20 and 192,102.80

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Solution

The fourth proportional to 547,206.80, 820,810.20 and 192,102.80 is: 288,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,206.80 : 820,810.20 = 192,102.80 : x
  2. Step 2: Convert to fraction form
    547,206.80/820,810.20 = 192,102.80/x
  3. Step 3: Cross multiply
    547,206.80x = 820,810.20 × 192,102.80
  4. Step 4: Simplify right side
    547,206.80x = 157,679,937,688.56
  5. Step 5: Solve for x
    x = 157,679,937,688.56/547,206.80
  6. Step 6: Final answer
    x = 288,154.20

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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.