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Finding the Fourth Proportional to 527,692.66, 728,216.46 and 285,975.20

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Solution

The fourth proportional to 527,692.66, 728,216.46 and 285,975.20 is: 394,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,692.66 : 728,216.46 = 285,975.20 : x
  2. Step 2: Convert to fraction form
    527,692.66/728,216.46 = 285,975.20/x
  3. Step 3: Cross multiply
    527,692.66x = 728,216.46 × 285,975.20
  4. Step 4: Simplify right side
    527,692.66x = 208,251,849,612.33
  5. Step 5: Solve for x
    x = 208,251,849,612.33/527,692.66
  6. Step 6: Final answer
    x = 394,646.10

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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.