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Finding the Fourth Proportional to 289,228.80, 433,843.20 and 283,323.90

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Solution

The fourth proportional to 289,228.80, 433,843.20 and 283,323.90 is: 424,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,228.80 : 433,843.20 = 283,323.90 : x
  2. Step 2: Convert to fraction form
    289,228.80/433,843.20 = 283,323.90/x
  3. Step 3: Cross multiply
    289,228.80x = 433,843.20 × 283,323.90
  4. Step 4: Simplify right side
    289,228.80x = 122,918,147,412.48
  5. Step 5: Solve for x
    x = 122,918,147,412.48/289,228.80
  6. Step 6: Final answer
    x = 424,985.85

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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.