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Finding the Fourth Proportional to 535,915.25, 803,261.31 and 215,862.15

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Solution

The fourth proportional to 535,915.25, 803,261.31 and 215,862.15 is: 323,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,915.25 : 803,261.31 = 215,862.15 : x
  2. Step 2: Convert to fraction form
    535,915.25/803,261.31 = 215,862.15/x
  3. Step 3: Cross multiply
    535,915.25x = 803,261.31 × 215,862.15
  4. Step 4: Simplify right side
    535,915.25x = 173,393,713,388.42
  5. Step 5: Solve for x
    x = 173,393,713,388.42/535,915.25
  6. Step 6: Final answer
    x = 323,546.89

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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.