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Finding the Fourth Proportional to 415,021.60, 622,532.40 and 355,972.60

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Solution

The fourth proportional to 415,021.60, 622,532.40 and 355,972.60 is: 533,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,021.60 : 622,532.40 = 355,972.60 : x
  2. Step 2: Convert to fraction form
    415,021.60/622,532.40 = 355,972.60/x
  3. Step 3: Cross multiply
    415,021.60x = 622,532.40 × 355,972.60
  4. Step 4: Simplify right side
    415,021.60x = 221,604,477,012.24
  5. Step 5: Solve for x
    x = 221,604,477,012.24/415,021.60
  6. Step 6: Final answer
    x = 533,958.90

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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.