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Finding the Fourth Proportional to 456,617.10, 684,930.28 and 203,910.47

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Solution

The fourth proportional to 456,617.10, 684,930.28 and 203,910.47 is: 305,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,617.10 : 684,930.28 = 203,910.47 : x
  2. Step 2: Convert to fraction form
    456,617.10/684,930.28 = 203,910.47/x
  3. Step 3: Cross multiply
    456,617.10x = 684,930.28 × 203,910.47
  4. Step 4: Simplify right side
    456,617.10x = 139,664,455,312.03
  5. Step 5: Solve for x
    x = 139,664,455,312.03/456,617.10
  6. Step 6: Final answer
    x = 305,867.77

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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.