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Finding the Fourth Proportional to 326,798.40, 490,197.60 and 208,117.20

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Solution

The fourth proportional to 326,798.40, 490,197.60 and 208,117.20 is: 312,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,798.40 : 490,197.60 = 208,117.20 : x
  2. Step 2: Convert to fraction form
    326,798.40/490,197.60 = 208,117.20/x
  3. Step 3: Cross multiply
    326,798.40x = 490,197.60 × 208,117.20
  4. Step 4: Simplify right side
    326,798.40x = 102,018,551,958.72
  5. Step 5: Solve for x
    x = 102,018,551,958.72/326,798.40
  6. Step 6: Final answer
    x = 312,175.80

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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.