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Finding the Fourth Proportional to 446,571.48, 670,425.84 and 289,457.40

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Solution

The fourth proportional to 446,571.48, 670,425.84 and 289,457.40 is: 434,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,571.48 : 670,425.84 = 289,457.40 : x
  2. Step 2: Convert to fraction form
    446,571.48/670,425.84 = 289,457.40/x
  3. Step 3: Cross multiply
    446,571.48x = 670,425.84 × 289,457.40
  4. Step 4: Simplify right side
    446,571.48x = 194,059,720,539.22
  5. Step 5: Solve for x
    x = 194,059,720,539.22/446,571.48
  6. Step 6: Final answer
    x = 434,554.67

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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.