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Finding the Fourth Proportional to 514,272.42, 709,770.33 and 287,932.50

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Solution

The fourth proportional to 514,272.42, 709,770.33 and 287,932.50 is: 397,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,272.42 : 709,770.33 = 287,932.50 : x
  2. Step 2: Convert to fraction form
    514,272.42/709,770.33 = 287,932.50/x
  3. Step 3: Cross multiply
    514,272.42x = 709,770.33 × 287,932.50
  4. Step 4: Simplify right side
    514,272.42x = 204,365,945,542.73
  5. Step 5: Solve for x
    x = 204,365,945,542.73/514,272.42
  6. Step 6: Final answer
    x = 397,388.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.