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Finding the Fourth Proportional to 288,329.94, 431,643.24 and 212,949.54

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Solution

The fourth proportional to 288,329.94, 431,643.24 and 212,949.54 is: 318,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,329.94 : 431,643.24 = 212,949.54 : x
  2. Step 2: Convert to fraction form
    288,329.94/431,643.24 = 212,949.54/x
  3. Step 3: Cross multiply
    288,329.94x = 431,643.24 × 212,949.54
  4. Step 4: Simplify right side
    288,329.94x = 91,918,229,402.11
  5. Step 5: Solve for x
    x = 91,918,229,402.11/288,329.94
  6. Step 6: Final answer
    x = 318,795.30

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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.