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Finding the Fourth Proportional to 338,638.57, 467,336 and 202,646.65

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Solution

The fourth proportional to 338,638.57, 467,336 and 202,646.65 is: 279,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,638.57 : 467,336 = 202,646.65 : x
  2. Step 2: Convert to fraction form
    338,638.57/467,336 = 202,646.65/x
  3. Step 3: Cross multiply
    338,638.57x = 467,336 × 202,646.65
  4. Step 4: Simplify right side
    338,638.57x = 94,704,074,824.40
  5. Step 5: Solve for x
    x = 94,704,074,824.40/338,638.57
  6. Step 6: Final answer
    x = 279,661.22

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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.