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Finding the Fourth Proportional to 519,246, 716,559.52 and 280,782

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Solution

The fourth proportional to 519,246, 716,559.52 and 280,782 is: 387,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,246 : 716,559.52 = 280,782 : x
  2. Step 2: Convert to fraction form
    519,246/716,559.52 = 280,782/x
  3. Step 3: Cross multiply
    519,246x = 716,559.52 × 280,782
  4. Step 4: Simplify right side
    519,246x = 201,197,015,144.64
  5. Step 5: Solve for x
    x = 201,197,015,144.64/519,246
  6. Step 6: Final answer
    x = 387,479.18

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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.