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Finding the Fourth Proportional to 727,674.96, 1,004,188.92 and 405,366

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Solution

The fourth proportional to 727,674.96, 1,004,188.92 and 405,366 is: 559,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,674.96 : 1,004,188.92 = 405,366 : x
  2. Step 2: Convert to fraction form
    727,674.96/1,004,188.92 = 405,366/x
  3. Step 3: Cross multiply
    727,674.96x = 1,004,188.92 × 405,366
  4. Step 4: Simplify right side
    727,674.96x = 407,064,045,744.72
  5. Step 5: Solve for x
    x = 407,064,045,744.72/727,674.96
  6. Step 6: Final answer
    x = 559,403.67

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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.