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Finding the Fourth Proportional to 414,658.71, 621,594 and 162,101.12

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Solution

The fourth proportional to 414,658.71, 621,594 and 162,101.12 is: 242,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,658.71 : 621,594 = 162,101.12 : x
  2. Step 2: Convert to fraction form
    414,658.71/621,594 = 162,101.12/x
  3. Step 3: Cross multiply
    414,658.71x = 621,594 × 162,101.12
  4. Step 4: Simplify right side
    414,658.71x = 100,761,080,477.31
  5. Step 5: Solve for x
    x = 100,761,080,477.31/414,658.71
  6. Step 6: Final answer
    x = 242,997.62

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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.