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Finding the Fourth Proportional to 305,953.71, 422,213.07 and 169,984.74

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Solution

The fourth proportional to 305,953.71, 422,213.07 and 169,984.74 is: 234,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,953.71 : 422,213.07 = 169,984.74 : x
  2. Step 2: Convert to fraction form
    305,953.71/422,213.07 = 169,984.74/x
  3. Step 3: Cross multiply
    305,953.71x = 422,213.07 × 169,984.74
  4. Step 4: Simplify right side
    305,953.71x = 71,769,775,967.56
  5. Step 5: Solve for x
    x = 71,769,775,967.56/305,953.71
  6. Step 6: Final answer
    x = 234,577.24

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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.