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Finding the Fourth Proportional to 507,267.36, 700,044.12 and 280,908

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Solution

The fourth proportional to 507,267.36, 700,044.12 and 280,908 is: 387,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,267.36 : 700,044.12 = 280,908 : x
  2. Step 2: Convert to fraction form
    507,267.36/700,044.12 = 280,908/x
  3. Step 3: Cross multiply
    507,267.36x = 700,044.12 × 280,908
  4. Step 4: Simplify right side
    507,267.36x = 196,647,993,660.96
  5. Step 5: Solve for x
    x = 196,647,993,660.96/507,267.36
  6. Step 6: Final answer
    x = 387,661.44

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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.