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Finding the Fourth Proportional to 421,619.48, 632,388.20 and 232,017.51

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Solution

The fourth proportional to 421,619.48, 632,388.20 and 232,017.51 is: 348,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,619.48 : 632,388.20 = 232,017.51 : x
  2. Step 2: Convert to fraction form
    421,619.48/632,388.20 = 232,017.51/x
  3. Step 3: Cross multiply
    421,619.48x = 632,388.20 × 232,017.51
  4. Step 4: Simplify right side
    421,619.48x = 146,725,135,517.38
  5. Step 5: Solve for x
    x = 146,725,135,517.38/421,619.48
  6. Step 6: Final answer
    x = 348,003.70

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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.