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Finding the Fourth Proportional to 351,478.60, 526,829.10 and 193,820.20

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Solution

The fourth proportional to 351,478.60, 526,829.10 and 193,820.20 is: 290,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,478.60 : 526,829.10 = 193,820.20 : x
  2. Step 2: Convert to fraction form
    351,478.60/526,829.10 = 193,820.20/x
  3. Step 3: Cross multiply
    351,478.60x = 526,829.10 × 193,820.20
  4. Step 4: Simplify right side
    351,478.60x = 102,110,121,527.82
  5. Step 5: Solve for x
    x = 102,110,121,527.82/351,478.60
  6. Step 6: Final answer
    x = 290,515.90

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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.