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Finding the Fourth Proportional to 288,910.80, 433,288.44 and 101,898

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Solution

The fourth proportional to 288,910.80, 433,288.44 and 101,898 is: 152,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,910.80 : 433,288.44 = 101,898 : x
  2. Step 2: Convert to fraction form
    288,910.80/433,288.44 = 101,898/x
  3. Step 3: Cross multiply
    288,910.80x = 433,288.44 × 101,898
  4. Step 4: Simplify right side
    288,910.80x = 44,151,225,459.12
  5. Step 5: Solve for x
    x = 44,151,225,459.12/288,910.80
  6. Step 6: Final answer
    x = 152,819.57

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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.