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Finding the Fourth Proportional to 305,574.30, 421,686 and 169,600.32

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Solution

The fourth proportional to 305,574.30, 421,686 and 169,600.32 is: 234,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,574.30 : 421,686 = 169,600.32 : x
  2. Step 2: Convert to fraction form
    305,574.30/421,686 = 169,600.32/x
  3. Step 3: Cross multiply
    305,574.30x = 421,686 × 169,600.32
  4. Step 4: Simplify right side
    305,574.30x = 71,518,080,539.52
  5. Step 5: Solve for x
    x = 71,518,080,539.52/305,574.30
  6. Step 6: Final answer
    x = 234,044.82

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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.