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Finding the Fourth Proportional to 431,161.84, 646,585.08 and 164,790.64

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Solution

The fourth proportional to 431,161.84, 646,585.08 and 164,790.64 is: 247,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,161.84 : 646,585.08 = 164,790.64 : x
  2. Step 2: Convert to fraction form
    431,161.84/646,585.08 = 164,790.64/x
  3. Step 3: Cross multiply
    431,161.84x = 646,585.08 × 164,790.64
  4. Step 4: Simplify right side
    431,161.84x = 106,551,169,147.65
  5. Step 5: Solve for x
    x = 106,551,169,147.65/431,161.84
  6. Step 6: Final answer
    x = 247,125.69

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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.