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Finding the Fourth Proportional to 314,873.28, 434,519.52 and 171,634.56

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Solution

The fourth proportional to 314,873.28, 434,519.52 and 171,634.56 is: 236,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,873.28 : 434,519.52 = 171,634.56 : x
  2. Step 2: Convert to fraction form
    314,873.28/434,519.52 = 171,634.56/x
  3. Step 3: Cross multiply
    314,873.28x = 434,519.52 × 171,634.56
  4. Step 4: Simplify right side
    314,873.28x = 74,578,566,626.61
  5. Step 5: Solve for x
    x = 74,578,566,626.61/314,873.28
  6. Step 6: Final answer
    x = 236,852.64

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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.