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Finding the Fourth Proportional to 380,486.30, 570,816.93 and 114,251.86

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Solution

The fourth proportional to 380,486.30, 570,816.93 and 114,251.86 is: 171,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,486.30 : 570,816.93 = 114,251.86 : x
  2. Step 2: Convert to fraction form
    380,486.30/570,816.93 = 114,251.86/x
  3. Step 3: Cross multiply
    380,486.30x = 570,816.93 × 114,251.86
  4. Step 4: Simplify right side
    380,486.30x = 65,216,893,117.91
  5. Step 5: Solve for x
    x = 65,216,893,117.91/380,486.30
  6. Step 6: Final answer
    x = 171,404.05

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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.