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Finding the Fourth Proportional to 431,570.40, 647,355.60 and 111,721.65

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Solution

The fourth proportional to 431,570.40, 647,355.60 and 111,721.65 is: 167,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570.40 : 647,355.60 = 111,721.65 : x
  2. Step 2: Convert to fraction form
    431,570.40/647,355.60 = 111,721.65/x
  3. Step 3: Cross multiply
    431,570.40x = 647,355.60 × 111,721.65
  4. Step 4: Simplify right side
    431,570.40x = 72,323,635,768.74
  5. Step 5: Solve for x
    x = 72,323,635,768.74/431,570.40
  6. Step 6: Final answer
    x = 167,582.48

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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.