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Finding the Fourth Proportional to 288,905.38, 433,003.12 and 162,279.45

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Solution

The fourth proportional to 288,905.38, 433,003.12 and 162,279.45 is: 243,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,905.38 : 433,003.12 = 162,279.45 : x
  2. Step 2: Convert to fraction form
    288,905.38/433,003.12 = 162,279.45/x
  3. Step 3: Cross multiply
    288,905.38x = 433,003.12 × 162,279.45
  4. Step 4: Simplify right side
    288,905.38x = 70,267,507,756.19
  5. Step 5: Solve for x
    x = 70,267,507,756.19/288,905.38
  6. Step 6: Final answer
    x = 243,219.79

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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.