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Finding the Fourth Proportional to 527,298.95, 727,668.93 and 285,576

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Solution

The fourth proportional to 527,298.95, 727,668.93 and 285,576 is: 394,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,298.95 : 727,668.93 = 285,576 : x
  2. Step 2: Convert to fraction form
    527,298.95/727,668.93 = 285,576/x
  3. Step 3: Cross multiply
    527,298.95x = 727,668.93 × 285,576
  4. Step 4: Simplify right side
    527,298.95x = 207,804,782,353.68
  5. Step 5: Solve for x
    x = 207,804,782,353.68/527,298.95
  6. Step 6: Final answer
    x = 394,092.92

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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.