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Finding the Fourth Proportional to 507,247.08, 699,972.96 and 280,878

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Solution

The fourth proportional to 507,247.08, 699,972.96 and 280,878 is: 387,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,247.08 : 699,972.96 = 280,878 : x
  2. Step 2: Convert to fraction form
    507,247.08/699,972.96 = 280,878/x
  3. Step 3: Cross multiply
    507,247.08x = 699,972.96 × 280,878
  4. Step 4: Simplify right side
    507,247.08x = 196,607,005,058.88
  5. Step 5: Solve for x
    x = 196,607,005,058.88/507,247.08
  6. Step 6: Final answer
    x = 387,596.13

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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.