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Finding the Fourth Proportional to 648,302.80, 972,016.80 and 311,504.80

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Solution

The fourth proportional to 648,302.80, 972,016.80 and 311,504.80 is: 467,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,302.80 : 972,016.80 = 311,504.80 : x
  2. Step 2: Convert to fraction form
    648,302.80/972,016.80 = 311,504.80/x
  3. Step 3: Cross multiply
    648,302.80x = 972,016.80 × 311,504.80
  4. Step 4: Simplify right side
    648,302.80x = 302,787,898,880.64
  5. Step 5: Solve for x
    x = 302,787,898,880.64/648,302.80
  6. Step 6: Final answer
    x = 467,047.03

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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.