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Finding the Fourth Proportional to 527,658.30, 728,171.37 and 285,941.07

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Solution

The fourth proportional to 527,658.30, 728,171.37 and 285,941.07 is: 394,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,658.30 : 728,171.37 = 285,941.07 : x
  2. Step 2: Convert to fraction form
    527,658.30/728,171.37 = 285,941.07/x
  3. Step 3: Cross multiply
    527,658.30x = 728,171.37 × 285,941.07
  4. Step 4: Simplify right side
    527,658.30x = 208,214,100,681.17
  5. Step 5: Solve for x
    x = 208,214,100,681.17/527,658.30
  6. Step 6: Final answer
    x = 394,600.26

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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.