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Finding the Fourth Proportional to 223,619.80, 335,429.70 and 148,970.20

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Solution

The fourth proportional to 223,619.80, 335,429.70 and 148,970.20 is: 223,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,619.80 : 335,429.70 = 148,970.20 : x
  2. Step 2: Convert to fraction form
    223,619.80/335,429.70 = 148,970.20/x
  3. Step 3: Cross multiply
    223,619.80x = 335,429.70 × 148,970.20
  4. Step 4: Simplify right side
    223,619.80x = 49,969,029,494.94
  5. Step 5: Solve for x
    x = 49,969,029,494.94/223,619.80
  6. Step 6: Final answer
    x = 223,455.30

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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.