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Finding the Fourth Proportional to 576,915.12, 865,217.16 and 261,054

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Solution

The fourth proportional to 576,915.12, 865,217.16 and 261,054 is: 391,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,915.12 : 865,217.16 = 261,054 : x
  2. Step 2: Convert to fraction form
    576,915.12/865,217.16 = 261,054/x
  3. Step 3: Cross multiply
    576,915.12x = 865,217.16 × 261,054
  4. Step 4: Simplify right side
    576,915.12x = 225,868,400,486.64
  5. Step 5: Solve for x
    x = 225,868,400,486.64/576,915.12
  6. Step 6: Final answer
    x = 391,510.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.