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Finding the Fourth Proportional to 302,509.78, 453,658.84 and 89,221.10

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Solution

The fourth proportional to 302,509.78, 453,658.84 and 89,221.10 is: 133,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,509.78 : 453,658.84 = 89,221.10 : x
  2. Step 2: Convert to fraction form
    302,509.78/453,658.84 = 89,221.10/x
  3. Step 3: Cross multiply
    302,509.78x = 453,658.84 × 89,221.10
  4. Step 4: Simplify right side
    302,509.78x = 40,475,940,729.52
  5. Step 5: Solve for x
    x = 40,475,940,729.52/302,509.78
  6. Step 6: Final answer
    x = 133,800.44

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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.