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Finding the Fourth Proportional to 507,240.08, 699,963.30 and 280,871

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Solution

The fourth proportional to 507,240.08, 699,963.30 and 280,871 is: 387,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,240.08 : 699,963.30 = 280,871 : x
  2. Step 2: Convert to fraction form
    507,240.08/699,963.30 = 280,871/x
  3. Step 3: Cross multiply
    507,240.08x = 699,963.30 × 280,871
  4. Step 4: Simplify right side
    507,240.08x = 196,599,392,034.30
  5. Step 5: Solve for x
    x = 196,599,392,034.30/507,240.08
  6. Step 6: Final answer
    x = 387,586.47

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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.