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Finding the Fourth Proportional to 355,397.60, 532,318.80 and 214,911.20

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Solution

The fourth proportional to 355,397.60, 532,318.80 and 214,911.20 is: 321,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,397.60 : 532,318.80 = 214,911.20 : x
  2. Step 2: Convert to fraction form
    355,397.60/532,318.80 = 214,911.20/x
  3. Step 3: Cross multiply
    355,397.60x = 532,318.80 × 214,911.20
  4. Step 4: Simplify right side
    355,397.60x = 114,401,272,090.56
  5. Step 5: Solve for x
    x = 114,401,272,090.56/355,397.60
  6. Step 6: Final answer
    x = 321,896.58

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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.