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Finding the Fourth Proportional to 355,404.10, 532,328.55 and 214,917.70

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Solution

The fourth proportional to 355,404.10, 532,328.55 and 214,917.70 is: 321,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,404.10 : 532,328.55 = 214,917.70 : x
  2. Step 2: Convert to fraction form
    355,404.10/532,328.55 = 214,917.70/x
  3. Step 3: Cross multiply
    355,404.10x = 532,328.55 × 214,917.70
  4. Step 4: Simplify right side
    355,404.10x = 114,406,827,610.34
  5. Step 5: Solve for x
    x = 114,406,827,610.34/355,404.10
  6. Step 6: Final answer
    x = 321,906.32

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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.