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Finding the Fourth Proportional to 346,639.44, 478,361.12 and 193,691.60

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Solution

The fourth proportional to 346,639.44, 478,361.12 and 193,691.60 is: 267,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,639.44 : 478,361.12 = 193,691.60 : x
  2. Step 2: Convert to fraction form
    346,639.44/478,361.12 = 193,691.60/x
  3. Step 3: Cross multiply
    346,639.44x = 478,361.12 × 193,691.60
  4. Step 4: Simplify right side
    346,639.44x = 92,654,527,350.33
  5. Step 5: Solve for x
    x = 92,654,527,350.33/346,639.44
  6. Step 6: Final answer
    x = 267,293.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.