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Finding the Fourth Proportional to 262,875.96, 394,346.70 and 102,931.23

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Solution

The fourth proportional to 262,875.96, 394,346.70 and 102,931.23 is: 154,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,875.96 : 394,346.70 = 102,931.23 : x
  2. Step 2: Convert to fraction form
    262,875.96/394,346.70 = 102,931.23/x
  3. Step 3: Cross multiply
    262,875.96x = 394,346.70 × 102,931.23
  4. Step 4: Simplify right side
    262,875.96x = 40,590,590,877.44
  5. Step 5: Solve for x
    x = 40,590,590,877.44/262,875.96
  6. Step 6: Final answer
    x = 154,409.67

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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.