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Finding the Fourth Proportional to 519,228, 716,534.68 and 280,764

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Solution

The fourth proportional to 519,228, 716,534.68 and 280,764 is: 387,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,228 : 716,534.68 = 280,764 : x
  2. Step 2: Convert to fraction form
    519,228/716,534.68 = 280,764/x
  3. Step 3: Cross multiply
    519,228x = 716,534.68 × 280,764
  4. Step 4: Simplify right side
    519,228x = 201,177,142,895.52
  5. Step 5: Solve for x
    x = 201,177,142,895.52/519,228
  6. Step 6: Final answer
    x = 387,454.34

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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.