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Finding the Fourth Proportional to 527,416.28, 727,838 and 285,698.88

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Solution

The fourth proportional to 527,416.28, 727,838 and 285,698.88 is: 394,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,416.28 : 727,838 = 285,698.88 : x
  2. Step 2: Convert to fraction form
    527,416.28/727,838 = 285,698.88/x
  3. Step 3: Cross multiply
    527,416.28x = 727,838 × 285,698.88
  4. Step 4: Simplify right side
    527,416.28x = 207,942,501,421.44
  5. Step 5: Solve for x
    x = 207,942,501,421.44/527,416.28
  6. Step 6: Final answer
    x = 394,266.37

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1.5x scale

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.