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Finding the Fourth Proportional to 214,933.80, 322,400.70 and 185,409.30

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Solution

The fourth proportional to 214,933.80, 322,400.70 and 185,409.30 is: 278,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,933.80 : 322,400.70 = 185,409.30 : x
  2. Step 2: Convert to fraction form
    214,933.80/322,400.70 = 185,409.30/x
  3. Step 3: Cross multiply
    214,933.80x = 322,400.70 × 185,409.30
  4. Step 4: Simplify right side
    214,933.80x = 59,776,088,106.51
  5. Step 5: Solve for x
    x = 59,776,088,106.51/214,933.80
  6. Step 6: Final answer
    x = 278,113.95

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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.