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Finding the Fourth Proportional to 421,686.80, 632,530.20 and 279,969.20

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Solution

The fourth proportional to 421,686.80, 632,530.20 and 279,969.20 is: 419,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,686.80 : 632,530.20 = 279,969.20 : x
  2. Step 2: Convert to fraction form
    421,686.80/632,530.20 = 279,969.20/x
  3. Step 3: Cross multiply
    421,686.80x = 632,530.20 × 279,969.20
  4. Step 4: Simplify right side
    421,686.80x = 177,088,974,069.84
  5. Step 5: Solve for x
    x = 177,088,974,069.84/421,686.80
  6. Step 6: Final answer
    x = 419,953.80

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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.