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Finding the Fourth Proportional to 415,604.40, 621,851.40 and 275,636.40

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Solution

The fourth proportional to 415,604.40, 621,851.40 and 275,636.40 is: 412,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,604.40 : 621,851.40 = 275,636.40 : x
  2. Step 2: Convert to fraction form
    415,604.40/621,851.40 = 275,636.40/x
  3. Step 3: Cross multiply
    415,604.40x = 621,851.40 × 275,636.40
  4. Step 4: Simplify right side
    415,604.40x = 171,404,881,230.96
  5. Step 5: Solve for x
    x = 171,404,881,230.96/415,604.40
  6. Step 6: Final answer
    x = 412,423.16

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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.