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Finding the Fourth Proportional to 380,514.78, 570,777.78 and 180,855.54

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Solution

The fourth proportional to 380,514.78, 570,777.78 and 180,855.54 is: 271,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,514.78 : 570,777.78 = 180,855.54 : x
  2. Step 2: Convert to fraction form
    380,514.78/570,777.78 = 180,855.54/x
  3. Step 3: Cross multiply
    380,514.78x = 570,777.78 × 180,855.54
  4. Step 4: Simplify right side
    380,514.78x = 103,228,323,621.90
  5. Step 5: Solve for x
    x = 103,228,323,621.90/380,514.78
  6. Step 6: Final answer
    x = 271,285.98

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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.