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Finding the Fourth Proportional to 353,851.40, 488,355.27 and 210,611.90

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Solution

The fourth proportional to 353,851.40, 488,355.27 and 210,611.90 is: 290,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,851.40 : 488,355.27 = 210,611.90 : x
  2. Step 2: Convert to fraction form
    353,851.40/488,355.27 = 210,611.90/x
  3. Step 3: Cross multiply
    353,851.40x = 488,355.27 × 210,611.90
  4. Step 4: Simplify right side
    353,851.40x = 102,853,431,289.71
  5. Step 5: Solve for x
    x = 102,853,431,289.71/353,851.40
  6. Step 6: Final answer
    x = 290,668.43

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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.