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Finding the Fourth Proportional to 290,814, 401,167.80 and 195,156.24

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Solution

The fourth proportional to 290,814, 401,167.80 and 195,156.24 is: 269,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,814 : 401,167.80 = 195,156.24 : x
  2. Step 2: Convert to fraction form
    290,814/401,167.80 = 195,156.24/x
  3. Step 3: Cross multiply
    290,814x = 401,167.80 × 195,156.24
  4. Step 4: Simplify right side
    290,814x = 78,290,399,457.07
  5. Step 5: Solve for x
    x = 78,290,399,457.07/290,814
  6. Step 6: Final answer
    x = 269,211.25

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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.