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Finding the Fourth Proportional to 519,300, 716,636.16 and 280,836

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Solution

The fourth proportional to 519,300, 716,636.16 and 280,836 is: 387,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,300 : 716,636.16 = 280,836 : x
  2. Step 2: Convert to fraction form
    519,300/716,636.16 = 280,836/x
  3. Step 3: Cross multiply
    519,300x = 716,636.16 × 280,836
  4. Step 4: Simplify right side
    519,300x = 201,257,232,629.76
  5. Step 5: Solve for x
    x = 201,257,232,629.76/519,300
  6. Step 6: Final answer
    x = 387,554.85

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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.