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Finding the Fourth Proportional to 527,522.66, 727,981.44 and 285,806.90

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Solution

The fourth proportional to 527,522.66, 727,981.44 and 285,806.90 is: 394,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,522.66 : 727,981.44 = 285,806.90 : x
  2. Step 2: Convert to fraction form
    527,522.66/727,981.44 = 285,806.90/x
  3. Step 3: Cross multiply
    527,522.66x = 727,981.44 × 285,806.90
  4. Step 4: Simplify right side
    527,522.66x = 208,062,118,623.94
  5. Step 5: Solve for x
    x = 208,062,118,623.94/527,522.66
  6. Step 6: Final answer
    x = 394,413.61

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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.