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Finding the Fourth Proportional to 527,443.91, 727,871.93 and 285,727.48

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Solution

The fourth proportional to 527,443.91, 727,871.93 and 285,727.48 is: 394,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,443.91 : 727,871.93 = 285,727.48 : x
  2. Step 2: Convert to fraction form
    527,443.91/727,871.93 = 285,727.48/x
  3. Step 3: Cross multiply
    527,443.91x = 727,871.93 × 285,727.48
  4. Step 4: Simplify right side
    527,443.91x = 207,973,012,321.64
  5. Step 5: Solve for x
    x = 207,973,012,321.64/527,443.91
  6. Step 6: Final answer
    x = 394,303.56

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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.