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Finding the Fourth Proportional to 380,753.46, 525,438.36 and 210,987.45

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Solution

The fourth proportional to 380,753.46, 525,438.36 and 210,987.45 is: 291,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,753.46 : 525,438.36 = 210,987.45 : x
  2. Step 2: Convert to fraction form
    380,753.46/525,438.36 = 210,987.45/x
  3. Step 3: Cross multiply
    380,753.46x = 525,438.36 × 210,987.45
  4. Step 4: Simplify right side
    380,753.46x = 110,860,899,708.58
  5. Step 5: Solve for x
    x = 110,860,899,708.58/380,753.46
  6. Step 6: Final answer
    x = 291,161.90

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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.