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Finding the Fourth Proportional to 547,178.98, 821,057.38 and 388,281.74

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Solution

The fourth proportional to 547,178.98, 821,057.38 and 388,281.74 is: 582,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,178.98 : 821,057.38 = 388,281.74 : x
  2. Step 2: Convert to fraction form
    547,178.98/821,057.38 = 388,281.74/x
  3. Step 3: Cross multiply
    547,178.98x = 821,057.38 × 388,281.74
  4. Step 4: Simplify right side
    547,178.98x = 318,801,588,146.24
  5. Step 5: Solve for x
    x = 318,801,588,146.24/547,178.98
  6. Step 6: Final answer
    x = 582,627.62

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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.