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Finding the Fourth Proportional to 380,613.16, 570,932.70 and 180,830.44

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Solution

The fourth proportional to 380,613.16, 570,932.70 and 180,830.44 is: 271,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,613.16 : 570,932.70 = 180,830.44 : x
  2. Step 2: Convert to fraction form
    380,613.16/570,932.70 = 180,830.44/x
  3. Step 3: Cross multiply
    380,613.16x = 570,932.70 × 180,830.44
  4. Step 4: Simplify right side
    380,613.16x = 103,242,011,351.39
  5. Step 5: Solve for x
    x = 103,242,011,351.39/380,613.16
  6. Step 6: Final answer
    x = 271,251.82

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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.