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Finding the Fourth Proportional to 223,817.22, 308,769.66 and 147,237.78

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Solution

The fourth proportional to 223,817.22, 308,769.66 and 147,237.78 is: 203,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,817.22 : 308,769.66 = 147,237.78 : x
  2. Step 2: Convert to fraction form
    223,817.22/308,769.66 = 147,237.78/x
  3. Step 3: Cross multiply
    223,817.22x = 308,769.66 × 147,237.78
  4. Step 4: Simplify right side
    223,817.22x = 45,462,559,269.75
  5. Step 5: Solve for x
    x = 45,462,559,269.75/223,817.22
  6. Step 6: Final answer
    x = 203,123.60

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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.