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Finding the Fourth Proportional to 300,145.56, 450,218.10 and 120,312.24

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Solution

The fourth proportional to 300,145.56, 450,218.10 and 120,312.24 is: 180,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,145.56 : 450,218.10 = 120,312.24 : x
  2. Step 2: Convert to fraction form
    300,145.56/450,218.10 = 120,312.24/x
  3. Step 3: Cross multiply
    300,145.56x = 450,218.10 × 120,312.24
  4. Step 4: Simplify right side
    300,145.56x = 54,166,748,099.54
  5. Step 5: Solve for x
    x = 54,166,748,099.54/300,145.56
  6. Step 6: Final answer
    x = 180,468.26

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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.