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Finding the Fourth Proportional to 380,675.86, 570,390.84 and 230,460.85

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Solution

The fourth proportional to 380,675.86, 570,390.84 and 230,460.85 is: 345,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,675.86 : 570,390.84 = 230,460.85 : x
  2. Step 2: Convert to fraction form
    380,675.86/570,390.84 = 230,460.85/x
  3. Step 3: Cross multiply
    380,675.86x = 570,390.84 × 230,460.85
  4. Step 4: Simplify right side
    380,675.86x = 131,452,757,818.61
  5. Step 5: Solve for x
    x = 131,452,757,818.61/380,675.86
  6. Step 6: Final answer
    x = 345,314.14

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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.