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Finding the Fourth Proportional to 289,021.90, 433,532.85 and 219,037.90

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Solution

The fourth proportional to 289,021.90, 433,532.85 and 219,037.90 is: 328,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,021.90 : 433,532.85 = 219,037.90 : x
  2. Step 2: Convert to fraction form
    289,021.90/433,532.85 = 219,037.90/x
  3. Step 3: Cross multiply
    289,021.90x = 433,532.85 × 219,037.90
  4. Step 4: Simplify right side
    289,021.90x = 94,960,125,045.02
  5. Step 5: Solve for x
    x = 94,960,125,045.02/289,021.90
  6. Step 6: Final answer
    x = 328,556.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.