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Finding the Fourth Proportional to 543,206.80, 815,424.60 and 321,715.60

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Solution

The fourth proportional to 543,206.80, 815,424.60 and 321,715.60 is: 482,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,206.80 : 815,424.60 = 321,715.60 : x
  2. Step 2: Convert to fraction form
    543,206.80/815,424.60 = 321,715.60/x
  3. Step 3: Cross multiply
    543,206.80x = 815,424.60 × 321,715.60
  4. Step 4: Simplify right side
    543,206.80x = 262,334,814,443.76
  5. Step 5: Solve for x
    x = 262,334,814,443.76/543,206.80
  6. Step 6: Final answer
    x = 482,937.28

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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.