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Finding the Fourth Proportional to 517,218.36, 775,840.50 and 143,244.60

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Solution

The fourth proportional to 517,218.36, 775,840.50 and 143,244.60 is: 214,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,218.36 : 775,840.50 = 143,244.60 : x
  2. Step 2: Convert to fraction form
    517,218.36/775,840.50 = 143,244.60/x
  3. Step 3: Cross multiply
    517,218.36x = 775,840.50 × 143,244.60
  4. Step 4: Simplify right side
    517,218.36x = 111,134,962,086.30
  5. Step 5: Solve for x
    x = 111,134,962,086.30/517,218.36
  6. Step 6: Final answer
    x = 214,870.49

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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.