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Finding the Fourth Proportional to 527,453.88, 727,888.24 and 285,735.84

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Solution

The fourth proportional to 527,453.88, 727,888.24 and 285,735.84 is: 394,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,453.88 : 727,888.24 = 285,735.84 : x
  2. Step 2: Convert to fraction form
    527,453.88/727,888.24 = 285,735.84/x
  3. Step 3: Cross multiply
    527,453.88x = 727,888.24 × 285,735.84
  4. Step 4: Simplify right side
    527,453.88x = 207,983,757,682.52
  5. Step 5: Solve for x
    x = 207,983,757,682.52/527,453.88
  6. Step 6: Final answer
    x = 394,316.48

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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.