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Finding the Fourth Proportional to 527,131.78, 727,438.78 and 285,409.36

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Solution

The fourth proportional to 527,131.78, 727,438.78 and 285,409.36 is: 393,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,131.78 : 727,438.78 = 285,409.36 : x
  2. Step 2: Convert to fraction form
    527,131.78/727,438.78 = 285,409.36/x
  3. Step 3: Cross multiply
    527,131.78x = 727,438.78 × 285,409.36
  4. Step 4: Simplify right side
    527,131.78x = 207,617,836,638.98
  5. Step 5: Solve for x
    x = 207,617,836,638.98/527,131.78
  6. Step 6: Final answer
    x = 393,863.25

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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.