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Finding the Fourth Proportional to 302,511.80, 453,661.88 and 89,223

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Solution

The fourth proportional to 302,511.80, 453,661.88 and 89,223 is: 133,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,511.80 : 453,661.88 = 89,223 : x
  2. Step 2: Convert to fraction form
    302,511.80/453,661.88 = 89,223/x
  3. Step 3: Cross multiply
    302,511.80x = 453,661.88 × 89,223
  4. Step 4: Simplify right side
    302,511.80x = 40,477,073,919.24
  5. Step 5: Solve for x
    x = 40,477,073,919.24/302,511.80
  6. Step 6: Final answer
    x = 133,803.29

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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.