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Finding the Fourth Proportional to 287,680.32, 431,241.84 and 110,050.56

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Solution

The fourth proportional to 287,680.32, 431,241.84 and 110,050.56 is: 164,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,680.32 : 431,241.84 = 110,050.56 : x
  2. Step 2: Convert to fraction form
    287,680.32/431,241.84 = 110,050.56/x
  3. Step 3: Cross multiply
    287,680.32x = 431,241.84 × 110,050.56
  4. Step 4: Simplify right side
    287,680.32x = 47,458,405,987.43
  5. Step 5: Solve for x
    x = 47,458,405,987.43/287,680.32
  6. Step 6: Final answer
    x = 164,969.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.