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Finding the Fourth Proportional to 527,131.54, 727,438.44 and 285,409.11

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Solution

The fourth proportional to 527,131.54, 727,438.44 and 285,409.11 is: 393,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,131.54 : 727,438.44 = 285,409.11 : x
  2. Step 2: Convert to fraction form
    527,131.54/727,438.44 = 285,409.11/x
  3. Step 3: Cross multiply
    527,131.54x = 727,438.44 × 285,409.11
  4. Step 4: Simplify right side
    527,131.54x = 207,617,557,740.19
  5. Step 5: Solve for x
    x = 207,617,557,740.19/527,131.54
  6. Step 6: Final answer
    x = 393,862.90

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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.