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Finding the Fourth Proportional to 431,998.80, 647,537.40 and 165,656.40

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Solution

The fourth proportional to 431,998.80, 647,537.40 and 165,656.40 is: 248,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,998.80 : 647,537.40 = 165,656.40 : x
  2. Step 2: Convert to fraction form
    431,998.80/647,537.40 = 165,656.40/x
  3. Step 3: Cross multiply
    431,998.80x = 647,537.40 × 165,656.40
  4. Step 4: Simplify right side
    431,998.80x = 107,268,714,549.36
  5. Step 5: Solve for x
    x = 107,268,714,549.36/431,998.80
  6. Step 6: Final answer
    x = 248,307.90

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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.