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Finding the Fourth Proportional to 380,238.60, 570,328.20 and 99,748.56

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Solution

The fourth proportional to 380,238.60, 570,328.20 and 99,748.56 is: 149,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,238.60 : 570,328.20 = 99,748.56 : x
  2. Step 2: Convert to fraction form
    380,238.60/570,328.20 = 99,748.56/x
  3. Step 3: Cross multiply
    380,238.60x = 570,328.20 × 99,748.56
  4. Step 4: Simplify right side
    380,238.60x = 56,889,416,677.39
  5. Step 5: Solve for x
    x = 56,889,416,677.39/380,238.60
  6. Step 6: Final answer
    x = 149,615.05

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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.