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Finding the Fourth Proportional to 469,884.80, 648,283.20 and 300,218.24

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Solution

The fourth proportional to 469,884.80, 648,283.20 and 300,218.24 is: 414,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,884.80 : 648,283.20 = 300,218.24 : x
  2. Step 2: Convert to fraction form
    469,884.80/648,283.20 = 300,218.24/x
  3. Step 3: Cross multiply
    469,884.80x = 648,283.20 × 300,218.24
  4. Step 4: Simplify right side
    469,884.80x = 194,626,441,325.57
  5. Step 5: Solve for x
    x = 194,626,441,325.57/469,884.80
  6. Step 6: Final answer
    x = 414,200.33

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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.