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Finding the Fourth Proportional to 206,374.90, 309,511.08 and 116,457.09

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Solution

The fourth proportional to 206,374.90, 309,511.08 and 116,457.09 is: 174,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,374.90 : 309,511.08 = 116,457.09 : x
  2. Step 2: Convert to fraction form
    206,374.90/309,511.08 = 116,457.09/x
  3. Step 3: Cross multiply
    206,374.90x = 309,511.08 × 116,457.09
  4. Step 4: Simplify right side
    206,374.90x = 36,044,759,699.56
  5. Step 5: Solve for x
    x = 36,044,759,699.56/206,374.90
  6. Step 6: Final answer
    x = 174,656.71

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1.5x scale

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.