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Finding the Fourth Proportional to 380,818.60, 570,680.70 and 214,254.76

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Solution

The fourth proportional to 380,818.60, 570,680.70 and 214,254.76 is: 321,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,818.60 : 570,680.70 = 214,254.76 : x
  2. Step 2: Convert to fraction form
    380,818.60/570,680.70 = 214,254.76/x
  3. Step 3: Cross multiply
    380,818.60x = 570,680.70 × 214,254.76
  4. Step 4: Simplify right side
    380,818.60x = 122,271,056,415.13
  5. Step 5: Solve for x
    x = 122,271,056,415.13/380,818.60
  6. Step 6: Final answer
    x = 321,074.28

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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.