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Finding the Fourth Proportional to 458,904, 686,881.92 and 245,137.44

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Solution

The fourth proportional to 458,904, 686,881.92 and 245,137.44 is: 366,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,904 : 686,881.92 = 245,137.44 : x
  2. Step 2: Convert to fraction form
    458,904/686,881.92 = 245,137.44/x
  3. Step 3: Cross multiply
    458,904x = 686,881.92 × 245,137.44
  4. Step 4: Simplify right side
    458,904x = 168,380,475,451.09
  5. Step 5: Solve for x
    x = 168,380,475,451.09/458,904
  6. Step 6: Final answer
    x = 366,918.74

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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.