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Finding the Fourth Proportional to 414,745.72, 621,633.08 and 158,410.28

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Solution

The fourth proportional to 414,745.72, 621,633.08 and 158,410.28 is: 237,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,745.72 : 621,633.08 = 158,410.28 : x
  2. Step 2: Convert to fraction form
    414,745.72/621,633.08 = 158,410.28/x
  3. Step 3: Cross multiply
    414,745.72x = 621,633.08 × 158,410.28
  4. Step 4: Simplify right side
    414,745.72x = 98,473,072,210.17
  5. Step 5: Solve for x
    x = 98,473,072,210.17/414,745.72
  6. Step 6: Final answer
    x = 237,429.99

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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.