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Finding the Fourth Proportional to 288,326.94, 431,638.76 and 212,946.53

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Solution

The fourth proportional to 288,326.94, 431,638.76 and 212,946.53 is: 318,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,326.94 : 431,638.76 = 212,946.53 : x
  2. Step 2: Convert to fraction form
    288,326.94/431,638.76 = 212,946.53/x
  3. Step 3: Cross multiply
    288,326.94x = 431,638.76 × 212,946.53
  4. Step 4: Simplify right side
    288,326.94x = 91,915,972,932.58
  5. Step 5: Solve for x
    x = 91,915,972,932.58/288,326.94
  6. Step 6: Final answer
    x = 318,790.79

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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.