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Finding the Fourth Proportional to 296,640, 409,371.84 and 162,512.64

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Solution

The fourth proportional to 296,640, 409,371.84 and 162,512.64 is: 224,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,640 : 409,371.84 = 162,512.64 : x
  2. Step 2: Convert to fraction form
    296,640/409,371.84 = 162,512.64/x
  3. Step 3: Cross multiply
    296,640x = 409,371.84 × 162,512.64
  4. Step 4: Simplify right side
    296,640x = 66,528,098,460.06
  5. Step 5: Solve for x
    x = 66,528,098,460.06/296,640
  6. Step 6: Final answer
    x = 224,272.18

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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.