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Finding the Fourth Proportional to 509,745.72, 703,467.06 and 280,320.44

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Solution

The fourth proportional to 509,745.72, 703,467.06 and 280,320.44 is: 386,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,745.72 : 703,467.06 = 280,320.44 : x
  2. Step 2: Convert to fraction form
    509,745.72/703,467.06 = 280,320.44/x
  3. Step 3: Cross multiply
    509,745.72x = 703,467.06 × 280,320.44
  4. Step 4: Simplify right side
    509,745.72x = 197,196,195,784.71
  5. Step 5: Solve for x
    x = 197,196,195,784.71/509,745.72
  6. Step 6: Final answer
    x = 386,852.09

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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.