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Finding the Fourth Proportional to 519,238, 716,548.48 and 280,774

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Solution

The fourth proportional to 519,238, 716,548.48 and 280,774 is: 387,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,238 : 716,548.48 = 280,774 : x
  2. Step 2: Convert to fraction form
    519,238/716,548.48 = 280,774/x
  3. Step 3: Cross multiply
    519,238x = 716,548.48 × 280,774
  4. Step 4: Simplify right side
    519,238x = 201,188,182,923.52
  5. Step 5: Solve for x
    x = 201,188,182,923.52/519,238
  6. Step 6: Final answer
    x = 387,468.14

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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.