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Finding the Fourth Proportional to 413,622.08, 620,617.44 and 216,584

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Solution

The fourth proportional to 413,622.08, 620,617.44 and 216,584 is: 324,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.08 : 620,617.44 = 216,584 : x
  2. Step 2: Convert to fraction form
    413,622.08/620,617.44 = 216,584/x
  3. Step 3: Cross multiply
    413,622.08x = 620,617.44 × 216,584
  4. Step 4: Simplify right side
    413,622.08x = 134,415,807,624.96
  5. Step 5: Solve for x
    x = 134,415,807,624.96/413,622.08
  6. Step 6: Final answer
    x = 324,972.52

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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.