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Finding the Fourth Proportional to 519,249, 716,563.66 and 280,785

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Solution

The fourth proportional to 519,249, 716,563.66 and 280,785 is: 387,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,249 : 716,563.66 = 280,785 : x
  2. Step 2: Convert to fraction form
    519,249/716,563.66 = 280,785/x
  3. Step 3: Cross multiply
    519,249x = 716,563.66 × 280,785
  4. Step 4: Simplify right side
    519,249x = 201,200,327,273.10
  5. Step 5: Solve for x
    x = 201,200,327,273.10/519,249
  6. Step 6: Final answer
    x = 387,483.32

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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.