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Finding the Fourth Proportional to 422,380.10, 631,995.48 and 417,656.18

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Solution

The fourth proportional to 422,380.10, 631,995.48 and 417,656.18 is: 624,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,380.10 : 631,995.48 = 417,656.18 : x
  2. Step 2: Convert to fraction form
    422,380.10/631,995.48 = 417,656.18/x
  3. Step 3: Cross multiply
    422,380.10x = 631,995.48 × 417,656.18
  4. Step 4: Simplify right side
    422,380.10x = 263,956,817,954.07
  5. Step 5: Solve for x
    x = 263,956,817,954.07/422,380.10
  6. Step 6: Final answer
    x = 624,927.21

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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.