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Finding the Fourth Proportional to 305,678.80, 421,863.42 and 169,739.20

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Solution

The fourth proportional to 305,678.80, 421,863.42 and 169,739.20 is: 234,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,678.80 : 421,863.42 = 169,739.20 : x
  2. Step 2: Convert to fraction form
    305,678.80/421,863.42 = 169,739.20/x
  3. Step 3: Cross multiply
    305,678.80x = 421,863.42 × 169,739.20
  4. Step 4: Simplify right side
    305,678.80x = 71,606,759,420.06
  5. Step 5: Solve for x
    x = 71,606,759,420.06/305,678.80
  6. Step 6: Final answer
    x = 234,254.91

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1.5x scale

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.