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Finding the Fourth Proportional to 326,716.40, 490,074.60 and 160,828.40

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Solution

The fourth proportional to 326,716.40, 490,074.60 and 160,828.40 is: 241,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716.40 : 490,074.60 = 160,828.40 : x
  2. Step 2: Convert to fraction form
    326,716.40/490,074.60 = 160,828.40/x
  3. Step 3: Cross multiply
    326,716.40x = 490,074.60 × 160,828.40
  4. Step 4: Simplify right side
    326,716.40x = 78,817,913,798.64
  5. Step 5: Solve for x
    x = 78,817,913,798.64/326,716.40
  6. Step 6: Final answer
    x = 241,242.60

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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.