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Finding the Fourth Proportional to 420,073.68, 579,695.86 and 229,087.02

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Solution

The fourth proportional to 420,073.68, 579,695.86 and 229,087.02 is: 316,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,073.68 : 579,695.86 = 229,087.02 : x
  2. Step 2: Convert to fraction form
    420,073.68/579,695.86 = 229,087.02/x
  3. Step 3: Cross multiply
    420,073.68x = 579,695.86 × 229,087.02
  4. Step 4: Simplify right side
    420,073.68x = 132,800,797,073.74
  5. Step 5: Solve for x
    x = 132,800,797,073.74/420,073.68
  6. Step 6: Final answer
    x = 316,136.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.