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Finding the Fourth Proportional to 383,714.35, 575,571.12 and 130,973.86

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Solution

The fourth proportional to 383,714.35, 575,571.12 and 130,973.86 is: 196,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.35 : 575,571.12 = 130,973.86 : x
  2. Step 2: Convert to fraction form
    383,714.35/575,571.12 = 130,973.86/x
  3. Step 3: Cross multiply
    383,714.35x = 575,571.12 × 130,973.86
  4. Step 4: Simplify right side
    383,714.35x = 75,384,771,519.24
  5. Step 5: Solve for x
    x = 75,384,771,519.24/383,714.35
  6. Step 6: Final answer
    x = 196,460.65

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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.