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Finding the Fourth Proportional to 328,977.60, 492,810.30 and 229,250.40

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Solution

The fourth proportional to 328,977.60, 492,810.30 and 229,250.40 is: 343,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,977.60 : 492,810.30 = 229,250.40 : x
  2. Step 2: Convert to fraction form
    328,977.60/492,810.30 = 229,250.40/x
  3. Step 3: Cross multiply
    328,977.60x = 492,810.30 × 229,250.40
  4. Step 4: Simplify right side
    328,977.60x = 112,976,958,399.12
  5. Step 5: Solve for x
    x = 112,976,958,399.12/328,977.60
  6. Step 6: Final answer
    x = 343,418.39

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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.