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Finding the Fourth Proportional to 362,080, 499,670.40 and 220,768

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Solution

The fourth proportional to 362,080, 499,670.40 and 220,768 is: 304,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,080 : 499,670.40 = 220,768 : x
  2. Step 2: Convert to fraction form
    362,080/499,670.40 = 220,768/x
  3. Step 3: Cross multiply
    362,080x = 499,670.40 × 220,768
  4. Step 4: Simplify right side
    362,080x = 110,311,234,867.20
  5. Step 5: Solve for x
    x = 110,311,234,867.20/362,080
  6. Step 6: Final answer
    x = 304,659.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.