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Finding the Fourth Proportional to 490,406.40, 735,609.60 and 253,821.60

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Solution

The fourth proportional to 490,406.40, 735,609.60 and 253,821.60 is: 380,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,406.40 : 735,609.60 = 253,821.60 : x
  2. Step 2: Convert to fraction form
    490,406.40/735,609.60 = 253,821.60/x
  3. Step 3: Cross multiply
    490,406.40x = 735,609.60 × 253,821.60
  4. Step 4: Simplify right side
    490,406.40x = 186,713,605,647.36
  5. Step 5: Solve for x
    x = 186,713,605,647.36/490,406.40
  6. Step 6: Final answer
    x = 380,732.40

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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.