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Finding the Fourth Proportional to 302,679.20, 453,694.80 and 102,814.40

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Solution

The fourth proportional to 302,679.20, 453,694.80 and 102,814.40 is: 154,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,679.20 : 453,694.80 = 102,814.40 : x
  2. Step 2: Convert to fraction form
    302,679.20/453,694.80 = 102,814.40/x
  3. Step 3: Cross multiply
    302,679.20x = 453,694.80 × 102,814.40
  4. Step 4: Simplify right side
    302,679.20x = 46,646,358,645.12
  5. Step 5: Solve for x
    x = 46,646,358,645.12/302,679.20
  6. Step 6: Final answer
    x = 154,111.54

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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.