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Finding the Fourth Proportional to 527,354.82, 727,548.84 and 389,863.86

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Solution

The fourth proportional to 527,354.82, 727,548.84 and 389,863.86 is: 537,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,354.82 : 727,548.84 = 389,863.86 : x
  2. Step 2: Convert to fraction form
    527,354.82/727,548.84 = 389,863.86/x
  3. Step 3: Cross multiply
    527,354.82x = 727,548.84 × 389,863.86
  4. Step 4: Simplify right side
    527,354.82x = 283,644,999,100.92
  5. Step 5: Solve for x
    x = 283,644,999,100.92/527,354.82
  6. Step 6: Final answer
    x = 537,863.67

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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.