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Finding the Fourth Proportional to 428,868.80, 643,303.20 and 192,672.80

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Solution

The fourth proportional to 428,868.80, 643,303.20 and 192,672.80 is: 289,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,868.80 : 643,303.20 = 192,672.80 : x
  2. Step 2: Convert to fraction form
    428,868.80/643,303.20 = 192,672.80/x
  3. Step 3: Cross multiply
    428,868.80x = 643,303.20 × 192,672.80
  4. Step 4: Simplify right side
    428,868.80x = 123,947,028,792.96
  5. Step 5: Solve for x
    x = 123,947,028,792.96/428,868.80
  6. Step 6: Final answer
    x = 289,009.20

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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.