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Finding the Fourth Proportional to 338,900.80, 508,934.40 and 328,403.20

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Solution

The fourth proportional to 338,900.80, 508,934.40 and 328,403.20 is: 493,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,900.80 : 508,934.40 = 328,403.20 : x
  2. Step 2: Convert to fraction form
    338,900.80/508,934.40 = 328,403.20/x
  3. Step 3: Cross multiply
    338,900.80x = 508,934.40 × 328,403.20
  4. Step 4: Simplify right side
    338,900.80x = 167,135,685,550.08
  5. Step 5: Solve for x
    x = 167,135,685,550.08/338,900.80
  6. Step 6: Final answer
    x = 493,169.94

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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.