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Finding the Fourth Proportional to 527,503.80, 727,954.22 and 285,792.40

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Solution

The fourth proportional to 527,503.80, 727,954.22 and 285,792.40 is: 394,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,503.80 : 727,954.22 = 285,792.40 : x
  2. Step 2: Convert to fraction form
    527,503.80/727,954.22 = 285,792.40/x
  3. Step 3: Cross multiply
    527,503.80x = 727,954.22 × 285,792.40
  4. Step 4: Simplify right side
    527,503.80x = 208,043,783,623.93
  5. Step 5: Solve for x
    x = 208,043,783,623.93/527,503.80
  6. Step 6: Final answer
    x = 394,392.96

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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.