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Finding the Fourth Proportional to 328,223.30, 492,037.95 and 228,431.30

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Solution

The fourth proportional to 328,223.30, 492,037.95 and 228,431.30 is: 342,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,223.30 : 492,037.95 = 228,431.30 : x
  2. Step 2: Convert to fraction form
    328,223.30/492,037.95 = 228,431.30/x
  3. Step 3: Cross multiply
    328,223.30x = 492,037.95 × 228,431.30
  4. Step 4: Simplify right side
    328,223.30x = 112,396,868,567.84
  5. Step 5: Solve for x
    x = 112,396,868,567.84/328,223.30
  6. Step 6: Final answer
    x = 342,440.25

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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.