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Finding the Fourth Proportional to 422,478.36, 633,686.76 and 156,114.72

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Solution

The fourth proportional to 422,478.36, 633,686.76 and 156,114.72 is: 234,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,478.36 : 633,686.76 = 156,114.72 : x
  2. Step 2: Convert to fraction form
    422,478.36/633,686.76 = 156,114.72/x
  3. Step 3: Cross multiply
    422,478.36x = 633,686.76 × 156,114.72
  4. Step 4: Simplify right side
    422,478.36x = 98,927,831,105.11
  5. Step 5: Solve for x
    x = 98,927,831,105.11/422,478.36
  6. Step 6: Final answer
    x = 234,160.71

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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.