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Finding the Fourth Proportional to 513,480.64, 708,582.46 and 280,903.80

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Solution

The fourth proportional to 513,480.64, 708,582.46 and 280,903.80 is: 387,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,480.64 : 708,582.46 = 280,903.80 : x
  2. Step 2: Convert to fraction form
    513,480.64/708,582.46 = 280,903.80/x
  3. Step 3: Cross multiply
    513,480.64x = 708,582.46 × 280,903.80
  4. Step 4: Simplify right side
    513,480.64x = 199,043,505,627.35
  5. Step 5: Solve for x
    x = 199,043,505,627.35/513,480.64
  6. Step 6: Final answer
    x = 387,635.85

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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.