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Finding the Fourth Proportional to 527,956.25, 728,575.20 and 298,558.58

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Solution

The fourth proportional to 527,956.25, 728,575.20 and 298,558.58 is: 412,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,956.25 : 728,575.20 = 298,558.58 : x
  2. Step 2: Convert to fraction form
    527,956.25/728,575.20 = 298,558.58/x
  3. Step 3: Cross multiply
    527,956.25x = 728,575.20 × 298,558.58
  4. Step 4: Simplify right side
    527,956.25x = 217,522,373,492.34
  5. Step 5: Solve for x
    x = 217,522,373,492.34/527,956.25
  6. Step 6: Final answer
    x = 412,008.34

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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.