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Finding the Fourth Proportional to 472,044.20, 707,967.90 and 172,665.80

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Solution

The fourth proportional to 472,044.20, 707,967.90 and 172,665.80 is: 258,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,044.20 : 707,967.90 = 172,665.80 : x
  2. Step 2: Convert to fraction form
    472,044.20/707,967.90 = 172,665.80/x
  3. Step 3: Cross multiply
    472,044.20x = 707,967.90 × 172,665.80
  4. Step 4: Simplify right side
    472,044.20x = 122,241,843,827.82
  5. Step 5: Solve for x
    x = 122,241,843,827.82/472,044.20
  6. Step 6: Final answer
    x = 258,962.71

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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.