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Finding the Fourth Proportional to 527,196.08, 727,529.28 and 285,478.64

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Solution

The fourth proportional to 527,196.08, 727,529.28 and 285,478.64 is: 393,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,196.08 : 727,529.28 = 285,478.64 : x
  2. Step 2: Convert to fraction form
    527,196.08/727,529.28 = 285,478.64/x
  3. Step 3: Cross multiply
    527,196.08x = 727,529.28 × 285,478.64
  4. Step 4: Simplify right side
    527,196.08x = 207,694,069,414.58
  5. Step 5: Solve for x
    x = 207,694,069,414.58/527,196.08
  6. Step 6: Final answer
    x = 393,959.81

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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.