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Finding the Fourth Proportional to 428,852.80, 643,279.20 and 179,713.60

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Solution

The fourth proportional to 428,852.80, 643,279.20 and 179,713.60 is: 269,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,852.80 : 643,279.20 = 179,713.60 : x
  2. Step 2: Convert to fraction form
    428,852.80/643,279.20 = 179,713.60/x
  3. Step 3: Cross multiply
    428,852.80x = 643,279.20 × 179,713.60
  4. Step 4: Simplify right side
    428,852.80x = 115,606,020,837.12
  5. Step 5: Solve for x
    x = 115,606,020,837.12/428,852.80
  6. Step 6: Final answer
    x = 269,570.40

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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.