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Finding the Fourth Proportional to 430,659, 645,994.26 and 135,171

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Solution

The fourth proportional to 430,659, 645,994.26 and 135,171 is: 202,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,659 : 645,994.26 = 135,171 : x
  2. Step 2: Convert to fraction form
    430,659/645,994.26 = 135,171/x
  3. Step 3: Cross multiply
    430,659x = 645,994.26 × 135,171
  4. Step 4: Simplify right side
    430,659x = 87,319,690,118.46
  5. Step 5: Solve for x
    x = 87,319,690,118.46/430,659
  6. Step 6: Final answer
    x = 202,758.31

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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.