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Finding the Fourth Proportional to 645,047.40, 967,110.30 and 289,770.60

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Solution

The fourth proportional to 645,047.40, 967,110.30 and 289,770.60 is: 434,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,047.40 : 967,110.30 = 289,770.60 : x
  2. Step 2: Convert to fraction form
    645,047.40/967,110.30 = 289,770.60/x
  3. Step 3: Cross multiply
    645,047.40x = 967,110.30 × 289,770.60
  4. Step 4: Simplify right side
    645,047.40x = 280,240,131,897.18
  5. Step 5: Solve for x
    x = 280,240,131,897.18/645,047.40
  6. Step 6: Final answer
    x = 434,448.90

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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.