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Finding the Fourth Proportional to 289,216.80, 433,825.20 and 283,311.90

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Solution

The fourth proportional to 289,216.80, 433,825.20 and 283,311.90 is: 424,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216.80 : 433,825.20 = 283,311.90 : x
  2. Step 2: Convert to fraction form
    289,216.80/433,825.20 = 283,311.90/x
  3. Step 3: Cross multiply
    289,216.80x = 433,825.20 × 283,311.90
  4. Step 4: Simplify right side
    289,216.80x = 122,907,841,679.88
  5. Step 5: Solve for x
    x = 122,907,841,679.88/289,216.80
  6. Step 6: Final answer
    x = 424,967.85

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1.5x scale

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.