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Finding the Fourth Proportional to 338,428.80, 467,031.60 and 202,468.50

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Solution

The fourth proportional to 338,428.80, 467,031.60 and 202,468.50 is: 279,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,428.80 : 467,031.60 = 202,468.50 : x
  2. Step 2: Convert to fraction form
    338,428.80/467,031.60 = 202,468.50/x
  3. Step 3: Cross multiply
    338,428.80x = 467,031.60 × 202,468.50
  4. Step 4: Simplify right side
    338,428.80x = 94,559,187,504.60
  5. Step 5: Solve for x
    x = 94,559,187,504.60/338,428.80
  6. Step 6: Final answer
    x = 279,406.44

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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.