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Finding the Fourth Proportional to 431,036.40, 646,554.60 and 111,187.65

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Solution

The fourth proportional to 431,036.40, 646,554.60 and 111,187.65 is: 166,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,036.40 : 646,554.60 = 111,187.65 : x
  2. Step 2: Convert to fraction form
    431,036.40/646,554.60 = 111,187.65/x
  3. Step 3: Cross multiply
    431,036.40x = 646,554.60 × 111,187.65
  4. Step 4: Simplify right side
    431,036.40x = 71,888,886,570.69
  5. Step 5: Solve for x
    x = 71,888,886,570.69/431,036.40
  6. Step 6: Final answer
    x = 166,781.48

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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.