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Finding the Fourth Proportional to 431,202.80, 646,804.20 and 164,826.20

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Solution

The fourth proportional to 431,202.80, 646,804.20 and 164,826.20 is: 247,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,202.80 : 646,804.20 = 164,826.20 : x
  2. Step 2: Convert to fraction form
    431,202.80/646,804.20 = 164,826.20/x
  3. Step 3: Cross multiply
    431,202.80x = 646,804.20 × 164,826.20
  4. Step 4: Simplify right side
    431,202.80x = 106,610,278,430.04
  5. Step 5: Solve for x
    x = 106,610,278,430.04/431,202.80
  6. Step 6: Final answer
    x = 247,239.30

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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.