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Finding the Fourth Proportional to 421,641.06, 632,456.00 and 101,791.20

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Solution

The fourth proportional to 421,641.06, 632,456.00 and 101,791.20 is: 152,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,641.06 : 632,456.00 = 101,791.20 : x
  2. Step 2: Convert to fraction form
    421,641.06/632,456.00 = 101,791.20/x
  3. Step 3: Cross multiply
    421,641.06x = 632,456.00 × 101,791.20
  4. Step 4: Simplify right side
    421,641.06x = 64,378,458,004.25
  5. Step 5: Solve for x
    x = 64,378,458,004.25/421,641.06
  6. Step 6: Final answer
    x = 152,685.46

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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.