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Finding the Fourth Proportional to 425,421, 587,078.46 and 231,828.30

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Solution

The fourth proportional to 425,421, 587,078.46 and 231,828.30 is: 319,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,421 : 587,078.46 = 231,828.30 : x
  2. Step 2: Convert to fraction form
    425,421/587,078.46 = 231,828.30/x
  3. Step 3: Cross multiply
    425,421x = 587,078.46 × 231,828.30
  4. Step 4: Simplify right side
    425,421x = 136,101,401,348.42
  5. Step 5: Solve for x
    x = 136,101,401,348.42/425,421
  6. Step 6: Final answer
    x = 319,921.68

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