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Finding the Fourth Proportional to 638,563.80, 957,408.30 and 301,765.80

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Solution

The fourth proportional to 638,563.80, 957,408.30 and 301,765.80 is: 452,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,563.80 : 957,408.30 = 301,765.80 : x
  2. Step 2: Convert to fraction form
    638,563.80/957,408.30 = 301,765.80/x
  3. Step 3: Cross multiply
    638,563.80x = 957,408.30 × 301,765.80
  4. Step 4: Simplify right side
    638,563.80x = 288,913,081,576.14
  5. Step 5: Solve for x
    x = 288,913,081,576.14/638,563.80
  6. Step 6: Final answer
    x = 452,442.00

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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.