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Finding the Fourth Proportional to 305,378.04, 421,422.21 and 169,412.00

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Solution

The fourth proportional to 305,378.04, 421,422.21 and 169,412.00 is: 233,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,378.04 : 421,422.21 = 169,412.00 : x
  2. Step 2: Convert to fraction form
    305,378.04/421,422.21 = 169,412.00/x
  3. Step 3: Cross multiply
    305,378.04x = 421,422.21 × 169,412.00
  4. Step 4: Simplify right side
    305,378.04x = 71,393,976,698.11
  5. Step 5: Solve for x
    x = 71,393,976,698.11/305,378.04
  6. Step 6: Final answer
    x = 233,788.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.