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Finding the Fourth Proportional to 430,656, 645,989.76 and 135,168

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Solution

The fourth proportional to 430,656, 645,989.76 and 135,168 is: 202,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,656 : 645,989.76 = 135,168 : x
  2. Step 2: Convert to fraction form
    430,656/645,989.76 = 135,168/x
  3. Step 3: Cross multiply
    430,656x = 645,989.76 × 135,168
  4. Step 4: Simplify right side
    430,656x = 87,317,143,879.68
  5. Step 5: Solve for x
    x = 87,317,143,879.68/430,656
  6. Step 6: Final answer
    x = 202,753.81

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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.