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Finding the Fourth Proportional to 429,994.16, 645,272.16 and 163,757.24

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Solution

The fourth proportional to 429,994.16, 645,272.16 and 163,757.24 is: 245,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,994.16 : 645,272.16 = 163,757.24 : x
  2. Step 2: Convert to fraction form
    429,994.16/645,272.16 = 163,757.24/x
  3. Step 3: Cross multiply
    429,994.16x = 645,272.16 × 163,757.24
  4. Step 4: Simplify right side
    429,994.16x = 105,667,987,970.44
  5. Step 5: Solve for x
    x = 105,667,987,970.44/429,994.16
  6. Step 6: Final answer
    x = 245,742.84

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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.