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Finding the Fourth Proportional to 392,303.76, 588,280.52 and 111,755.40

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Solution

The fourth proportional to 392,303.76, 588,280.52 and 111,755.40 is: 167,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,303.76 : 588,280.52 = 111,755.40 : x
  2. Step 2: Convert to fraction form
    392,303.76/588,280.52 = 111,755.40/x
  3. Step 3: Cross multiply
    392,303.76x = 588,280.52 × 111,755.40
  4. Step 4: Simplify right side
    392,303.76x = 65,743,522,898.14
  5. Step 5: Solve for x
    x = 65,743,522,898.14/392,303.76
  6. Step 6: Final answer
    x = 167,583.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.