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Finding the Fourth Proportional to 210,416.96, 290,363.64 and 119,795

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Solution

The fourth proportional to 210,416.96, 290,363.64 and 119,795 is: 165,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,416.96 : 290,363.64 = 119,795 : x
  2. Step 2: Convert to fraction form
    210,416.96/290,363.64 = 119,795/x
  3. Step 3: Cross multiply
    210,416.96x = 290,363.64 × 119,795
  4. Step 4: Simplify right side
    210,416.96x = 34,784,112,253.80
  5. Step 5: Solve for x
    x = 34,784,112,253.80/210,416.96
  6. Step 6: Final answer
    x = 165,310.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.