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Finding the Fourth Proportional to 380,525.45, 570,292.43 and 212,038.97

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Solution

The fourth proportional to 380,525.45, 570,292.43 and 212,038.97 is: 317,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,525.45 : 570,292.43 = 212,038.97 : x
  2. Step 2: Convert to fraction form
    380,525.45/570,292.43 = 212,038.97/x
  3. Step 3: Cross multiply
    380,525.45x = 570,292.43 × 212,038.97
  4. Step 4: Simplify right side
    380,525.45x = 120,924,215,544.34
  5. Step 5: Solve for x
    x = 120,924,215,544.34/380,525.45
  6. Step 6: Final answer
    x = 317,782.21

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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.