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Finding the Fourth Proportional to 465,855.85, 642,866.18 and 261,915.40

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Solution

The fourth proportional to 465,855.85, 642,866.18 and 261,915.40 is: 361,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,855.85 : 642,866.18 = 261,915.40 : x
  2. Step 2: Convert to fraction form
    465,855.85/642,866.18 = 261,915.40/x
  3. Step 3: Cross multiply
    465,855.85x = 642,866.18 × 261,915.40
  4. Step 4: Simplify right side
    465,855.85x = 168,376,552,681.17
  5. Step 5: Solve for x
    x = 168,376,552,681.17/465,855.85
  6. Step 6: Final answer
    x = 361,434.88

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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.