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Finding the Fourth Proportional to 362,215.80, 543,323.70 and 278,399.03

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Solution

The fourth proportional to 362,215.80, 543,323.70 and 278,399.03 is: 417,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,215.80 : 543,323.70 = 278,399.03 : x
  2. Step 2: Convert to fraction form
    362,215.80/543,323.70 = 278,399.03/x
  3. Step 3: Cross multiply
    362,215.80x = 543,323.70 × 278,399.03
  4. Step 4: Simplify right side
    362,215.80x = 151,260,788,339.39
  5. Step 5: Solve for x
    x = 151,260,788,339.39/362,215.80
  6. Step 6: Final answer
    x = 417,598.54

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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.