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Finding the Fourth Proportional to 302,161.75, 453,247.85 and 102,487.30

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Solution

The fourth proportional to 302,161.75, 453,247.85 and 102,487.30 is: 153,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,161.75 : 453,247.85 = 102,487.30 : x
  2. Step 2: Convert to fraction form
    302,161.75/453,247.85 = 102,487.30/x
  3. Step 3: Cross multiply
    302,161.75x = 453,247.85 × 102,487.30
  4. Step 4: Simplify right side
    302,161.75x = 46,452,147,500.40
  5. Step 5: Solve for x
    x = 46,452,147,500.40/302,161.75
  6. Step 6: Final answer
    x = 153,732.72

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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.