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Finding the Fourth Proportional to 342,461.64, 472,564.90 and 231,855.30

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Solution

The fourth proportional to 342,461.64, 472,564.90 and 231,855.30 is: 319,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,461.64 : 472,564.90 = 231,855.30 : x
  2. Step 2: Convert to fraction form
    342,461.64/472,564.90 = 231,855.30/x
  3. Step 3: Cross multiply
    342,461.64x = 472,564.90 × 231,855.30
  4. Step 4: Simplify right side
    342,461.64x = 109,566,676,658.97
  5. Step 5: Solve for x
    x = 109,566,676,658.97/342,461.64
  6. Step 6: Final answer
    x = 319,938.54

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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.