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Finding the Fourth Proportional to 380,674.86, 570,389.34 and 230,459.85

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Solution

The fourth proportional to 380,674.86, 570,389.34 and 230,459.85 is: 345,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,674.86 : 570,389.34 = 230,459.85 : x
  2. Step 2: Convert to fraction form
    380,674.86/570,389.34 = 230,459.85/x
  3. Step 3: Cross multiply
    380,674.86x = 570,389.34 × 230,459.85
  4. Step 4: Simplify right side
    380,674.86x = 131,451,841,738.00
  5. Step 5: Solve for x
    x = 131,451,841,738.00/380,674.86
  6. Step 6: Final answer
    x = 345,312.64

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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.