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Finding the Fourth Proportional to 329,709.40, 494,564.10 and 258,850.60

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Solution

The fourth proportional to 329,709.40, 494,564.10 and 258,850.60 is: 388,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,709.40 : 494,564.10 = 258,850.60 : x
  2. Step 2: Convert to fraction form
    329,709.40/494,564.10 = 258,850.60/x
  3. Step 3: Cross multiply
    329,709.40x = 494,564.10 × 258,850.60
  4. Step 4: Simplify right side
    329,709.40x = 128,018,214,023.46
  5. Step 5: Solve for x
    x = 128,018,214,023.46/329,709.40
  6. Step 6: Final answer
    x = 388,275.90

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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.