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Finding the Fourth Proportional to 309,956.76, 427,630.32 and 202,588.76

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Solution

The fourth proportional to 309,956.76, 427,630.32 and 202,588.76 is: 279,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,956.76 : 427,630.32 = 202,588.76 : x
  2. Step 2: Convert to fraction form
    309,956.76/427,630.32 = 202,588.76/x
  3. Step 3: Cross multiply
    309,956.76x = 427,630.32 × 202,588.76
  4. Step 4: Simplify right side
    309,956.76x = 86,633,097,336.28
  5. Step 5: Solve for x
    x = 86,633,097,336.28/309,956.76
  6. Step 6: Final answer
    x = 279,500.59

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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.