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Finding the Fourth Proportional to 288,945.30, 433,245.15 and 148,977.30

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Solution

The fourth proportional to 288,945.30, 433,245.15 and 148,977.30 is: 223,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,945.30 : 433,245.15 = 148,977.30 : x
  2. Step 2: Convert to fraction form
    288,945.30/433,245.15 = 148,977.30/x
  3. Step 3: Cross multiply
    288,945.30x = 433,245.15 × 148,977.30
  4. Step 4: Simplify right side
    288,945.30x = 64,543,692,685.10
  5. Step 5: Solve for x
    x = 64,543,692,685.10/288,945.30
  6. Step 6: Final answer
    x = 223,376.86

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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.