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Finding the Fourth Proportional to 462,690.27, 638,324.67 and 301,486.50

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Solution

The fourth proportional to 462,690.27, 638,324.67 and 301,486.50 is: 415,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,690.27 : 638,324.67 = 301,486.50 : x
  2. Step 2: Convert to fraction form
    462,690.27/638,324.67 = 301,486.50/x
  3. Step 3: Cross multiply
    462,690.27x = 638,324.67 × 301,486.50
  4. Step 4: Simplify right side
    462,690.27x = 192,446,270,621.96
  5. Step 5: Solve for x
    x = 192,446,270,621.96/462,690.27
  6. Step 6: Final answer
    x = 415,928.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.