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Finding the Fourth Proportional to 289,025.20, 433,537.80 and 78,662.80

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Solution

The fourth proportional to 289,025.20, 433,537.80 and 78,662.80 is: 117,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,025.20 : 433,537.80 = 78,662.80 : x
  2. Step 2: Convert to fraction form
    289,025.20/433,537.80 = 78,662.80/x
  3. Step 3: Cross multiply
    289,025.20x = 433,537.80 × 78,662.80
  4. Step 4: Simplify right side
    289,025.20x = 34,103,297,253.84
  5. Step 5: Solve for x
    x = 34,103,297,253.84/289,025.20
  6. Step 6: Final answer
    x = 117,994.20

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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.