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Finding the Fourth Proportional to 580,378.32, 870,129 and 380,748.96

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Solution

The fourth proportional to 580,378.32, 870,129 and 380,748.96 is: 570,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,378.32 : 870,129 = 380,748.96 : x
  2. Step 2: Convert to fraction form
    580,378.32/870,129 = 380,748.96/x
  3. Step 3: Cross multiply
    580,378.32x = 870,129 × 380,748.96
  4. Step 4: Simplify right side
    580,378.32x = 331,300,711,815.84
  5. Step 5: Solve for x
    x = 331,300,711,815.84/580,378.32
  6. Step 6: Final answer
    x = 570,835.78

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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.