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Finding the Fourth Proportional to 472,038.20, 707,958.90 and 172,659.80

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Solution

The fourth proportional to 472,038.20, 707,958.90 and 172,659.80 is: 258,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,038.20 : 707,958.90 = 172,659.80 : x
  2. Step 2: Convert to fraction form
    472,038.20/707,958.90 = 172,659.80/x
  3. Step 3: Cross multiply
    472,038.20x = 707,958.90 × 172,659.80
  4. Step 4: Simplify right side
    472,038.20x = 122,236,042,082.22
  5. Step 5: Solve for x
    x = 122,236,042,082.22/472,038.20
  6. Step 6: Final answer
    x = 258,953.71

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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.