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Finding the Fourth Proportional to 414,199.66, 621,429.90 and 147,954.28

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Solution

The fourth proportional to 414,199.66, 621,429.90 and 147,954.28 is: 221,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,199.66 : 621,429.90 = 147,954.28 : x
  2. Step 2: Convert to fraction form
    414,199.66/621,429.90 = 147,954.28/x
  3. Step 3: Cross multiply
    414,199.66x = 621,429.90 × 147,954.28
  4. Step 4: Simplify right side
    414,199.66x = 91,943,213,424.97
  5. Step 5: Solve for x
    x = 91,943,213,424.97/414,199.66
  6. Step 6: Final answer
    x = 221,978.00

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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.