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Finding the Fourth Proportional to 216,507.60, 298,768.43 and 119,705.78

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Solution

The fourth proportional to 216,507.60, 298,768.43 and 119,705.78 is: 165,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,507.60 : 298,768.43 = 119,705.78 : x
  2. Step 2: Convert to fraction form
    216,507.60/298,768.43 = 119,705.78/x
  3. Step 3: Cross multiply
    216,507.60x = 298,768.43 × 119,705.78
  4. Step 4: Simplify right side
    216,507.60x = 35,764,308,998.71
  5. Step 5: Solve for x
    x = 35,764,308,998.71/216,507.60
  6. Step 6: Final answer
    x = 165,187.31

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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.