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Finding the Fourth Proportional to 296,391, 409,019.60 and 162,255

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Solution

The fourth proportional to 296,391, 409,019.60 and 162,255 is: 223,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,391 : 409,019.60 = 162,255 : x
  2. Step 2: Convert to fraction form
    296,391/409,019.60 = 162,255/x
  3. Step 3: Cross multiply
    296,391x = 409,019.60 × 162,255
  4. Step 4: Simplify right side
    296,391x = 66,365,475,198
  5. Step 5: Solve for x
    x = 66,365,475,198/296,391
  6. Step 6: Final answer
    x = 223,911.91

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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.