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Finding the Fourth Proportional to 310,439.43, 467,733.57 and 280,488.48

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Solution

The fourth proportional to 310,439.43, 467,733.57 and 280,488.48 is: 422,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,439.43 : 467,733.57 = 280,488.48 : x
  2. Step 2: Convert to fraction form
    310,439.43/467,733.57 = 280,488.48/x
  3. Step 3: Cross multiply
    310,439.43x = 467,733.57 × 280,488.48
  4. Step 4: Simplify right side
    310,439.43x = 131,193,878,094.27
  5. Step 5: Solve for x
    x = 131,193,878,094.27/310,439.43
  6. Step 6: Final answer
    x = 422,607.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.