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Finding the Fourth Proportional to 519,232, 716,540.20 and 280,768

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Solution

The fourth proportional to 519,232, 716,540.20 and 280,768 is: 387,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,232 : 716,540.20 = 280,768 : x
  2. Step 2: Convert to fraction form
    519,232/716,540.20 = 280,768/x
  3. Step 3: Cross multiply
    519,232x = 716,540.20 × 280,768
  4. Step 4: Simplify right side
    519,232x = 201,181,558,873.60
  5. Step 5: Solve for x
    x = 201,181,558,873.60/519,232
  6. Step 6: Final answer
    x = 387,459.86

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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.