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Finding the Fourth Proportional to 380,475.86, 570,751.55 and 140,652.60

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Solution

The fourth proportional to 380,475.86, 570,751.55 and 140,652.60 is: 210,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,475.86 : 570,751.55 = 140,652.60 : x
  2. Step 2: Convert to fraction form
    380,475.86/570,751.55 = 140,652.60/x
  3. Step 3: Cross multiply
    380,475.86x = 570,751.55 × 140,652.60
  4. Step 4: Simplify right side
    380,475.86x = 80,277,688,758.27
  5. Step 5: Solve for x
    x = 80,277,688,758.27/380,475.86
  6. Step 6: Final answer
    x = 210,992.86

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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.