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Finding the Fourth Proportional to 214,489.80, 321,734.70 and 190,870.20

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Solution

The fourth proportional to 214,489.80, 321,734.70 and 190,870.20 is: 286,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,489.80 : 321,734.70 = 190,870.20 : x
  2. Step 2: Convert to fraction form
    214,489.80/321,734.70 = 190,870.20/x
  3. Step 3: Cross multiply
    214,489.80x = 321,734.70 × 190,870.20
  4. Step 4: Simplify right side
    214,489.80x = 61,409,566,535.94
  5. Step 5: Solve for x
    x = 61,409,566,535.94/214,489.80
  6. Step 6: Final answer
    x = 286,305.30

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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.