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Finding the Fourth Proportional to 414,052.38, 621,209.79 and 147,807

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Solution

The fourth proportional to 414,052.38, 621,209.79 and 147,807 is: 221,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,052.38 : 621,209.79 = 147,807 : x
  2. Step 2: Convert to fraction form
    414,052.38/621,209.79 = 147,807/x
  3. Step 3: Cross multiply
    414,052.38x = 621,209.79 × 147,807
  4. Step 4: Simplify right side
    414,052.38x = 91,819,155,430.53
  5. Step 5: Solve for x
    x = 91,819,155,430.53/414,052.38
  6. Step 6: Final answer
    x = 221,757.34

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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.