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Finding the Fourth Proportional to 275,812.40, 413,718.60 and 98,519.60

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Solution

The fourth proportional to 275,812.40, 413,718.60 and 98,519.60 is: 147,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.40 : 413,718.60 = 98,519.60 : x
  2. Step 2: Convert to fraction form
    275,812.40/413,718.60 = 98,519.60/x
  3. Step 3: Cross multiply
    275,812.40x = 413,718.60 × 98,519.60
  4. Step 4: Simplify right side
    275,812.40x = 40,759,390,984.56
  5. Step 5: Solve for x
    x = 40,759,390,984.56/275,812.40
  6. Step 6: Final answer
    x = 147,779.40

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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.