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Finding the Fourth Proportional to 381,801.90, 572,326.20 and 213,402.90

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Solution

The fourth proportional to 381,801.90, 572,326.20 and 213,402.90 is: 319,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,801.90 : 572,326.20 = 213,402.90 : x
  2. Step 2: Convert to fraction form
    381,801.90/572,326.20 = 213,402.90/x
  3. Step 3: Cross multiply
    381,801.90x = 572,326.20 × 213,402.90
  4. Step 4: Simplify right side
    381,801.90x = 122,136,070,825.98
  5. Step 5: Solve for x
    x = 122,136,070,825.98/381,801.90
  6. Step 6: Final answer
    x = 319,893.83

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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.