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Finding the Fourth Proportional to 442,779.30, 664,363.35 and 206,000.10

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Solution

The fourth proportional to 442,779.30, 664,363.35 and 206,000.10 is: 309,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,779.30 : 664,363.35 = 206,000.10 : x
  2. Step 2: Convert to fraction form
    442,779.30/664,363.35 = 206,000.10/x
  3. Step 3: Cross multiply
    442,779.30x = 664,363.35 × 206,000.10
  4. Step 4: Simplify right side
    442,779.30x = 136,858,916,536.34
  5. Step 5: Solve for x
    x = 136,858,916,536.34/442,779.30
  6. Step 6: Final answer
    x = 309,090.59

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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.