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Finding the Fourth Proportional to 519,046.64, 716,285.44 and 280,582.64

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Solution

The fourth proportional to 519,046.64, 716,285.44 and 280,582.64 is: 387,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,046.64 : 716,285.44 = 280,582.64 : x
  2. Step 2: Convert to fraction form
    519,046.64/716,285.44 = 280,582.64/x
  3. Step 3: Cross multiply
    519,046.64x = 716,285.44 × 280,582.64
  4. Step 4: Simplify right side
    519,046.64x = 200,977,259,748.76
  5. Step 5: Solve for x
    x = 200,977,259,748.76/519,046.64
  6. Step 6: Final answer
    x = 387,204.63

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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.