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Finding the Fourth Proportional to 519,336, 716,683.68 and 280,872

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Solution

The fourth proportional to 519,336, 716,683.68 and 280,872 is: 387,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,336 : 716,683.68 = 280,872 : x
  2. Step 2: Convert to fraction form
    519,336/716,683.68 = 280,872/x
  3. Step 3: Cross multiply
    519,336x = 716,683.68 × 280,872
  4. Step 4: Simplify right side
    519,336x = 201,296,378,568.96
  5. Step 5: Solve for x
    x = 201,296,378,568.96/519,336
  6. Step 6: Final answer
    x = 387,603.36

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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.