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Finding the Fourth Proportional to 262,869.80, 394,401.90 and 105,211.40

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Solution

The fourth proportional to 262,869.80, 394,401.90 and 105,211.40 is: 157,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,869.80 : 394,401.90 = 105,211.40 : x
  2. Step 2: Convert to fraction form
    262,869.80/394,401.90 = 105,211.40/x
  3. Step 3: Cross multiply
    262,869.80x = 394,401.90 × 105,211.40
  4. Step 4: Simplify right side
    262,869.80x = 41,495,576,061.66
  5. Step 5: Solve for x
    x = 41,495,576,061.66/262,869.80
  6. Step 6: Final answer
    x = 157,856.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.