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Finding the Fourth Proportional to 326,718.40, 490,077.60 and 160,830.40

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Solution

The fourth proportional to 326,718.40, 490,077.60 and 160,830.40 is: 241,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,718.40 : 490,077.60 = 160,830.40 : x
  2. Step 2: Convert to fraction form
    326,718.40/490,077.60 = 160,830.40/x
  3. Step 3: Cross multiply
    326,718.40x = 490,077.60 × 160,830.40
  4. Step 4: Simplify right side
    326,718.40x = 78,819,376,439.04
  5. Step 5: Solve for x
    x = 78,819,376,439.04/326,718.40
  6. Step 6: Final answer
    x = 241,245.60

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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.