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Finding the Fourth Proportional to 465,915.80, 641,377.08 and 344,828.90

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Solution

The fourth proportional to 465,915.80, 641,377.08 and 344,828.90 is: 474,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,915.80 : 641,377.08 = 344,828.90 : x
  2. Step 2: Convert to fraction form
    465,915.80/641,377.08 = 344,828.90/x
  3. Step 3: Cross multiply
    465,915.80x = 641,377.08 × 344,828.90
  4. Step 4: Simplify right side
    465,915.80x = 221,165,349,774.73
  5. Step 5: Solve for x
    x = 221,165,349,774.73/465,915.80
  6. Step 6: Final answer
    x = 474,689.53

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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.