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Finding the Fourth Proportional to 288,698.02, 433,157.96 and 203,390.88

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Solution

The fourth proportional to 288,698.02, 433,157.96 and 203,390.88 is: 305,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,698.02 : 433,157.96 = 203,390.88 : x
  2. Step 2: Convert to fraction form
    288,698.02/433,157.96 = 203,390.88/x
  3. Step 3: Cross multiply
    288,698.02x = 433,157.96 × 203,390.88
  4. Step 4: Simplify right side
    288,698.02x = 88,100,378,663.40
  5. Step 5: Solve for x
    x = 88,100,378,663.40/288,698.02
  6. Step 6: Final answer
    x = 305,164.47

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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.