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Finding the Fourth Proportional to 300,071.20, 450,106.80 and 278,201.20

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Solution

The fourth proportional to 300,071.20, 450,106.80 and 278,201.20 is: 417,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,071.20 : 450,106.80 = 278,201.20 : x
  2. Step 2: Convert to fraction form
    300,071.20/450,106.80 = 278,201.20/x
  3. Step 3: Cross multiply
    300,071.20x = 450,106.80 × 278,201.20
  4. Step 4: Simplify right side
    300,071.20x = 125,220,251,888.16
  5. Step 5: Solve for x
    x = 125,220,251,888.16/300,071.20
  6. Step 6: Final answer
    x = 417,301.80

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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.