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Finding the Fourth Proportional to 442,070.69, 662,109.05 and 309,542.60

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Solution

The fourth proportional to 442,070.69, 662,109.05 and 309,542.60 is: 463,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,070.69 : 662,109.05 = 309,542.60 : x
  2. Step 2: Convert to fraction form
    442,070.69/662,109.05 = 309,542.60/x
  3. Step 3: Cross multiply
    442,070.69x = 662,109.05 × 309,542.60
  4. Step 4: Simplify right side
    442,070.69x = 204,950,951,962.27
  5. Step 5: Solve for x
    x = 204,950,951,962.27/442,070.69
  6. Step 6: Final answer
    x = 463,615.79

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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.