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Finding the Fourth Proportional to 519,072, 716,320.32 and 280,608

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Solution

The fourth proportional to 519,072, 716,320.32 and 280,608 is: 387,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,072 : 716,320.32 = 280,608 : x
  2. Step 2: Convert to fraction form
    519,072/716,320.32 = 280,608/x
  3. Step 3: Cross multiply
    519,072x = 716,320.32 × 280,608
  4. Step 4: Simplify right side
    519,072x = 201,005,212,354.56
  5. Step 5: Solve for x
    x = 201,005,212,354.56/519,072
  6. Step 6: Final answer
    x = 387,239.56

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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.