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Finding the Fourth Proportional to 421,219.40, 632,001.90 and 155,107.40

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Solution

The fourth proportional to 421,219.40, 632,001.90 and 155,107.40 is: 232,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,219.40 : 632,001.90 = 155,107.40 : x
  2. Step 2: Convert to fraction form
    421,219.40/632,001.90 = 155,107.40/x
  3. Step 3: Cross multiply
    421,219.40x = 632,001.90 × 155,107.40
  4. Step 4: Simplify right side
    421,219.40x = 98,028,171,504.06
  5. Step 5: Solve for x
    x = 98,028,171,504.06/421,219.40
  6. Step 6: Final answer
    x = 232,724.73

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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.