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Finding the Fourth Proportional to 425,461.21, 587,136.50 and 231,868.98

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Solution

The fourth proportional to 425,461.21, 587,136.50 and 231,868.98 is: 319,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,461.21 : 587,136.50 = 231,868.98 : x
  2. Step 2: Convert to fraction form
    425,461.21/587,136.50 = 231,868.98/x
  3. Step 3: Cross multiply
    425,461.21x = 587,136.50 × 231,868.98
  4. Step 4: Simplify right side
    425,461.21x = 136,138,741,085.93
  5. Step 5: Solve for x
    x = 136,138,741,085.93/425,461.21
  6. Step 6: Final answer
    x = 319,979.21

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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.