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Finding the Fourth Proportional to 339,694.40, 509,541.60 and 103,025.60

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Solution

The fourth proportional to 339,694.40, 509,541.60 and 103,025.60 is: 154,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,694.40 : 509,541.60 = 103,025.60 : x
  2. Step 2: Convert to fraction form
    339,694.40/509,541.60 = 103,025.60/x
  3. Step 3: Cross multiply
    339,694.40x = 509,541.60 × 103,025.60
  4. Step 4: Simplify right side
    339,694.40x = 52,495,829,064.96
  5. Step 5: Solve for x
    x = 52,495,829,064.96/339,694.40
  6. Step 6: Final answer
    x = 154,538.40

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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.