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Finding the Fourth Proportional to 431,982.78, 647,971.41 and 147,536.10

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Solution

The fourth proportional to 431,982.78, 647,971.41 and 147,536.10 is: 221,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,982.78 : 647,971.41 = 147,536.10 : x
  2. Step 2: Convert to fraction form
    431,982.78/647,971.41 = 147,536.10/x
  3. Step 3: Cross multiply
    431,982.78x = 647,971.41 × 147,536.10
  4. Step 4: Simplify right side
    431,982.78x = 95,599,174,742.90
  5. Step 5: Solve for x
    x = 95,599,174,742.90/431,982.78
  6. Step 6: Final answer
    x = 221,303.21

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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.