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Finding the Fourth Proportional to 413,038.20, 618,779.70 and 212,676.60

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Solution

The fourth proportional to 413,038.20, 618,779.70 and 212,676.60 is: 318,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,038.20 : 618,779.70 = 212,676.60 : x
  2. Step 2: Convert to fraction form
    413,038.20/618,779.70 = 212,676.60/x
  3. Step 3: Cross multiply
    413,038.20x = 618,779.70 × 212,676.60
  4. Step 4: Simplify right side
    413,038.20x = 131,599,962,745.02
  5. Step 5: Solve for x
    x = 131,599,962,745.02/413,038.20
  6. Step 6: Final answer
    x = 318,614.51

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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.