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Finding the Fourth Proportional to 431,386.08, 647,055.36 and 131,866.48

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Solution

The fourth proportional to 431,386.08, 647,055.36 and 131,866.48 is: 197,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,386.08 : 647,055.36 = 131,866.48 : x
  2. Step 2: Convert to fraction form
    431,386.08/647,055.36 = 131,866.48/x
  3. Step 3: Cross multiply
    431,386.08x = 647,055.36 × 131,866.48
  4. Step 4: Simplify right side
    431,386.08x = 85,324,912,688.33
  5. Step 5: Solve for x
    x = 85,324,912,688.33/431,386.08
  6. Step 6: Final answer
    x = 197,792.46

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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.