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Finding the Fourth Proportional to 302,571.30, 453,856.95 and 288,793.20

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Solution

The fourth proportional to 302,571.30, 453,856.95 and 288,793.20 is: 433,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,571.30 : 453,856.95 = 288,793.20 : x
  2. Step 2: Convert to fraction form
    302,571.30/453,856.95 = 288,793.20/x
  3. Step 3: Cross multiply
    302,571.30x = 453,856.95 × 288,793.20
  4. Step 4: Simplify right side
    302,571.30x = 131,070,800,932.74
  5. Step 5: Solve for x
    x = 131,070,800,932.74/302,571.30
  6. Step 6: Final answer
    x = 433,189.80

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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.