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Finding the Fourth Proportional to 289,333.20, 433,654.20 and 149,019.60

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Solution

The fourth proportional to 289,333.20, 433,654.20 and 149,019.60 is: 223,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,333.20 : 433,654.20 = 149,019.60 : x
  2. Step 2: Convert to fraction form
    289,333.20/433,654.20 = 149,019.60/x
  3. Step 3: Cross multiply
    289,333.20x = 433,654.20 × 149,019.60
  4. Step 4: Simplify right side
    289,333.20x = 64,622,975,422.32
  5. Step 5: Solve for x
    x = 64,622,975,422.32/289,333.20
  6. Step 6: Final answer
    x = 223,351.40

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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.