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Finding the Fourth Proportional to 296,910.78, 409,762.80 and 162,800.70

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Solution

The fourth proportional to 296,910.78, 409,762.80 and 162,800.70 is: 224,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,910.78 : 409,762.80 = 162,800.70 : x
  2. Step 2: Convert to fraction form
    296,910.78/409,762.80 = 162,800.70/x
  3. Step 3: Cross multiply
    296,910.78x = 409,762.80 × 162,800.70
  4. Step 4: Simplify right side
    296,910.78x = 66,709,670,673.96
  5. Step 5: Solve for x
    x = 66,709,670,673.96/296,910.78
  6. Step 6: Final answer
    x = 224,679.18

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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.