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Finding the Fourth Proportional to 289,212.80, 433,819.20 and 283,307.90

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Solution

The fourth proportional to 289,212.80, 433,819.20 and 283,307.90 is: 424,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212.80 : 433,819.20 = 283,307.90 : x
  2. Step 2: Convert to fraction form
    289,212.80/433,819.20 = 283,307.90/x
  3. Step 3: Cross multiply
    289,212.80x = 433,819.20 × 283,307.90
  4. Step 4: Simplify right side
    289,212.80x = 122,904,406,531.68
  5. Step 5: Solve for x
    x = 122,904,406,531.68/289,212.80
  6. Step 6: Final answer
    x = 424,961.85

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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.