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Finding the Fourth Proportional to 354,314.87, 531,692.70 and 143,952.80

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Solution

The fourth proportional to 354,314.87, 531,692.70 and 143,952.80 is: 216,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314.87 : 531,692.70 = 143,952.80 : x
  2. Step 2: Convert to fraction form
    354,314.87/531,692.70 = 143,952.80/x
  3. Step 3: Cross multiply
    354,314.87x = 531,692.70 × 143,952.80
  4. Step 4: Simplify right side
    354,314.87x = 76,538,652,904.56
  5. Step 5: Solve for x
    x = 76,538,652,904.56/354,314.87
  6. Step 6: Final answer
    x = 216,018.75

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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.