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Finding the Fourth Proportional to 380,686.80, 571,059.36 and 100,200

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Solution

The fourth proportional to 380,686.80, 571,059.36 and 100,200 is: 150,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,686.80 : 571,059.36 = 100,200 : x
  2. Step 2: Convert to fraction form
    380,686.80/571,059.36 = 100,200/x
  3. Step 3: Cross multiply
    380,686.80x = 571,059.36 × 100,200
  4. Step 4: Simplify right side
    380,686.80x = 57,220,147,872
  5. Step 5: Solve for x
    x = 57,220,147,872/380,686.80
  6. Step 6: Final answer
    x = 150,307.68

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1.5x scale

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.