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Finding the Fourth Proportional to 210,380.96, 290,313.86 and 119,758.98

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Solution

The fourth proportional to 210,380.96, 290,313.86 and 119,758.98 is: 165,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,380.96 : 290,313.86 = 119,758.98 : x
  2. Step 2: Convert to fraction form
    210,380.96/290,313.86 = 119,758.98/x
  3. Step 3: Cross multiply
    210,380.96x = 290,313.86 × 119,758.98
  4. Step 4: Simplify right side
    210,380.96x = 34,767,691,753.46
  5. Step 5: Solve for x
    x = 34,767,691,753.46/210,380.96
  6. Step 6: Final answer
    x = 165,260.64

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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.