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Finding the Fourth Proportional to 300,101.70, 450,152.55 and 278,231.70

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Solution

The fourth proportional to 300,101.70, 450,152.55 and 278,231.70 is: 417,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,101.70 : 450,152.55 = 278,231.70 : x
  2. Step 2: Convert to fraction form
    300,101.70/450,152.55 = 278,231.70/x
  3. Step 3: Cross multiply
    300,101.70x = 450,152.55 × 278,231.70
  4. Step 4: Simplify right side
    300,101.70x = 125,246,709,245.84
  5. Step 5: Solve for x
    x = 125,246,709,245.84/300,101.70
  6. Step 6: Final answer
    x = 417,347.55

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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.