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Finding the Fourth Proportional to 421,653.80, 632,480.70 and 279,936.20

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Solution

The fourth proportional to 421,653.80, 632,480.70 and 279,936.20 is: 419,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,653.80 : 632,480.70 = 279,936.20 : x
  2. Step 2: Convert to fraction form
    421,653.80/632,480.70 = 279,936.20/x
  3. Step 3: Cross multiply
    421,653.80x = 632,480.70 × 279,936.20
  4. Step 4: Simplify right side
    421,653.80x = 177,054,243,731.34
  5. Step 5: Solve for x
    x = 177,054,243,731.34/421,653.80
  6. Step 6: Final answer
    x = 419,904.30

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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.