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Finding the Fourth Proportional to 289,617.20, 434,080.20 and 149,303.60

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Solution

The fourth proportional to 289,617.20, 434,080.20 and 149,303.60 is: 223,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,617.20 : 434,080.20 = 149,303.60 : x
  2. Step 2: Convert to fraction form
    289,617.20/434,080.20 = 149,303.60/x
  3. Step 3: Cross multiply
    289,617.20x = 434,080.20 × 149,303.60
  4. Step 4: Simplify right side
    289,617.20x = 64,809,736,548.72
  5. Step 5: Solve for x
    x = 64,809,736,548.72/289,617.20
  6. Step 6: Final answer
    x = 223,777.24

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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.