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Finding the Fourth Proportional to 425,421.44, 587,073.98 and 231,830.83

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Solution

The fourth proportional to 425,421.44, 587,073.98 and 231,830.83 is: 319,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,421.44 : 587,073.98 = 231,830.83 : x
  2. Step 2: Convert to fraction form
    425,421.44/587,073.98 = 231,830.83/x
  3. Step 3: Cross multiply
    425,421.44x = 587,073.98 × 231,830.83
  4. Step 4: Simplify right side
    425,421.44x = 136,101,843,960.28
  5. Step 5: Solve for x
    x = 136,101,843,960.28/425,421.44
  6. Step 6: Final answer
    x = 319,922.39

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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.