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Finding the Fourth Proportional to 456,215.10, 684,711.45 and 203,883.90

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Solution

The fourth proportional to 456,215.10, 684,711.45 and 203,883.90 is: 305,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,215.10 : 684,711.45 = 203,883.90 : x
  2. Step 2: Convert to fraction form
    456,215.10/684,711.45 = 203,883.90/x
  3. Step 3: Cross multiply
    456,215.10x = 684,711.45 × 203,883.90
  4. Step 4: Simplify right side
    456,215.10x = 139,601,640,800.66
  5. Step 5: Solve for x
    x = 139,601,640,800.66/456,215.10
  6. Step 6: Final answer
    x = 305,999.61

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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.