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Finding the Fourth Proportional to 519,126, 716,394.04 and 280,662

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Solution

The fourth proportional to 519,126, 716,394.04 and 280,662 is: 387,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,126 : 716,394.04 = 280,662 : x
  2. Step 2: Convert to fraction form
    519,126/716,394.04 = 280,662/x
  3. Step 3: Cross multiply
    519,126x = 716,394.04 × 280,662
  4. Step 4: Simplify right side
    519,126x = 201,064,584,054.48
  5. Step 5: Solve for x
    x = 201,064,584,054.48/519,126
  6. Step 6: Final answer
    x = 387,313.65

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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.