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Finding the Fourth Proportional to 493,406.22, 680,917.02 and 302,382.66

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Solution

The fourth proportional to 493,406.22, 680,917.02 and 302,382.66 is: 417,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,406.22 : 680,917.02 = 302,382.66 : x
  2. Step 2: Convert to fraction form
    493,406.22/680,917.02 = 302,382.66/x
  3. Step 3: Cross multiply
    493,406.22x = 680,917.02 × 302,382.66
  4. Step 4: Simplify right side
    493,406.22x = 205,897,499,746.87
  5. Step 5: Solve for x
    x = 205,897,499,746.87/493,406.22
  6. Step 6: Final answer
    x = 417,298.14

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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.