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Finding the Fourth Proportional to 302,509.80, 453,764.70 and 278,890.20

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Solution

The fourth proportional to 302,509.80, 453,764.70 and 278,890.20 is: 418,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,509.80 : 453,764.70 = 278,890.20 : x
  2. Step 2: Convert to fraction form
    302,509.80/453,764.70 = 278,890.20/x
  3. Step 3: Cross multiply
    302,509.80x = 453,764.70 × 278,890.20
  4. Step 4: Simplify right side
    302,509.80x = 126,550,527,935.94
  5. Step 5: Solve for x
    x = 126,550,527,935.94/302,509.80
  6. Step 6: Final answer
    x = 418,335.30

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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.