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Finding the Fourth Proportional to 264,638.40, 396,957.60 and 185,841.60

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Solution

The fourth proportional to 264,638.40, 396,957.60 and 185,841.60 is: 278,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,638.40 : 396,957.60 = 185,841.60 : x
  2. Step 2: Convert to fraction form
    264,638.40/396,957.60 = 185,841.60/x
  3. Step 3: Cross multiply
    264,638.40x = 396,957.60 × 185,841.60
  4. Step 4: Simplify right side
    264,638.40x = 73,771,235,516.16
  5. Step 5: Solve for x
    x = 73,771,235,516.16/264,638.40
  6. Step 6: Final answer
    x = 278,762.40

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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.