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Finding the Fourth Proportional to 362,873.76, 500,027.26 and 280,702.80

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Solution

The fourth proportional to 362,873.76, 500,027.26 and 280,702.80 is: 386,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,873.76 : 500,027.26 = 280,702.80 : x
  2. Step 2: Convert to fraction form
    362,873.76/500,027.26 = 280,702.80/x
  3. Step 3: Cross multiply
    362,873.76x = 500,027.26 × 280,702.80
  4. Step 4: Simplify right side
    362,873.76x = 140,359,051,958.33
  5. Step 5: Solve for x
    x = 140,359,051,958.33/362,873.76
  6. Step 6: Final answer
    x = 386,798.57

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1.5x scale

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.