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Finding the Fourth Proportional to 451,924.92, 677,187.18 and 285,363

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Solution

The fourth proportional to 451,924.92, 677,187.18 and 285,363 is: 427,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,924.92 : 677,187.18 = 285,363 : x
  2. Step 2: Convert to fraction form
    451,924.92/677,187.18 = 285,363/x
  3. Step 3: Cross multiply
    451,924.92x = 677,187.18 × 285,363
  4. Step 4: Simplify right side
    451,924.92x = 193,244,165,246.34
  5. Step 5: Solve for x
    x = 193,244,165,246.34/451,924.92
  6. Step 6: Final answer
    x = 427,602.37

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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.