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Finding the Fourth Proportional to 519,248, 716,562.28 and 280,784

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Solution

The fourth proportional to 519,248, 716,562.28 and 280,784 is: 387,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,248 : 716,562.28 = 280,784 : x
  2. Step 2: Convert to fraction form
    519,248/716,562.28 = 280,784/x
  3. Step 3: Cross multiply
    519,248x = 716,562.28 × 280,784
  4. Step 4: Simplify right side
    519,248x = 201,199,223,227.52
  5. Step 5: Solve for x
    x = 201,199,223,227.52/519,248
  6. Step 6: Final answer
    x = 387,481.94

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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.