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Finding the Fourth Proportional to 298,578.44, 412,038.68 and 162,613

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Solution

The fourth proportional to 298,578.44, 412,038.68 and 162,613 is: 224,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,578.44 : 412,038.68 = 162,613 : x
  2. Step 2: Convert to fraction form
    298,578.44/412,038.68 = 162,613/x
  3. Step 3: Cross multiply
    298,578.44x = 412,038.68 × 162,613
  4. Step 4: Simplify right side
    298,578.44x = 67,002,845,870.84
  5. Step 5: Solve for x
    x = 67,002,845,870.84/298,578.44
  6. Step 6: Final answer
    x = 224,406.18

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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.