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Finding the Fourth Proportional to 305,653.50, 421,782.39 and 169,690.14

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Solution

The fourth proportional to 305,653.50, 421,782.39 and 169,690.14 is: 234,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,653.50 : 421,782.39 = 169,690.14 : x
  2. Step 2: Convert to fraction form
    305,653.50/421,782.39 = 169,690.14/x
  3. Step 3: Cross multiply
    305,653.50x = 421,782.39 × 169,690.14
  4. Step 4: Simplify right side
    305,653.50x = 71,572,312,808.63
  5. Step 5: Solve for x
    x = 71,572,312,808.63/305,653.50
  6. Step 6: Final answer
    x = 234,161.60

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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.