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Finding the Fourth Proportional to 527,151, 727,507.26 and 325,985.88

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Solution

The fourth proportional to 527,151, 727,507.26 and 325,985.88 is: 449,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,151 : 727,507.26 = 325,985.88 : x
  2. Step 2: Convert to fraction form
    527,151/727,507.26 = 325,985.88/x
  3. Step 3: Cross multiply
    527,151x = 727,507.26 × 325,985.88
  4. Step 4: Simplify right side
    527,151x = 237,157,094,357.49
  5. Step 5: Solve for x
    x = 237,157,094,357.49/527,151
  6. Step 6: Final answer
    x = 449,884.56

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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.