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Finding the Fourth Proportional to 421,670.80, 632,506.20 and 279,953.20

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Solution

The fourth proportional to 421,670.80, 632,506.20 and 279,953.20 is: 419,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670.80 : 632,506.20 = 279,953.20 : x
  2. Step 2: Convert to fraction form
    421,670.80/632,506.20 = 279,953.20/x
  3. Step 3: Cross multiply
    421,670.80x = 632,506.20 × 279,953.20
  4. Step 4: Simplify right side
    421,670.80x = 177,072,134,709.84
  5. Step 5: Solve for x
    x = 177,072,134,709.84/421,670.80
  6. Step 6: Final answer
    x = 419,929.80

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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.