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Finding the Fourth Proportional to 380,820.30, 525,532 and 211,065.36

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Solution

The fourth proportional to 380,820.30, 525,532 and 211,065.36 is: 291,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,820.30 : 525,532 = 211,065.36 : x
  2. Step 2: Convert to fraction form
    380,820.30/525,532 = 211,065.36/x
  3. Step 3: Cross multiply
    380,820.30x = 525,532 × 211,065.36
  4. Step 4: Simplify right side
    380,820.30x = 110,921,600,771.52
  5. Step 5: Solve for x
    x = 110,921,600,771.52/380,820.30
  6. Step 6: Final answer
    x = 291,270.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.