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Finding the Fourth Proportional to 289,023.80, 433,362.90 and 149,055.80

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Solution

The fourth proportional to 289,023.80, 433,362.90 and 149,055.80 is: 223,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,023.80 : 433,362.90 = 149,055.80 : x
  2. Step 2: Convert to fraction form
    289,023.80/433,362.90 = 149,055.80/x
  3. Step 3: Cross multiply
    289,023.80x = 433,362.90 × 149,055.80
  4. Step 4: Simplify right side
    289,023.80x = 64,595,253,749.82
  5. Step 5: Solve for x
    x = 64,595,253,749.82/289,023.80
  6. Step 6: Final answer
    x = 223,494.58

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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.