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Finding the Fourth Proportional to 298,216.40, 446,028.60 and 266,853.20

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Solution

The fourth proportional to 298,216.40, 446,028.60 and 266,853.20 is: 399,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,216.40 : 446,028.60 = 266,853.20 : x
  2. Step 2: Convert to fraction form
    298,216.40/446,028.60 = 266,853.20/x
  3. Step 3: Cross multiply
    298,216.40x = 446,028.60 × 266,853.20
  4. Step 4: Simplify right side
    298,216.40x = 119,024,159,201.52
  5. Step 5: Solve for x
    x = 119,024,159,201.52/298,216.40
  6. Step 6: Final answer
    x = 399,120.10

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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.