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Finding the Fourth Proportional to 355,114.60, 531,980.70 and 214,455.40

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Solution

The fourth proportional to 355,114.60, 531,980.70 and 214,455.40 is: 321,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,114.60 : 531,980.70 = 214,455.40 : x
  2. Step 2: Convert to fraction form
    355,114.60/531,980.70 = 214,455.40/x
  3. Step 3: Cross multiply
    355,114.60x = 531,980.70 × 214,455.40
  4. Step 4: Simplify right side
    355,114.60x = 114,086,133,810.78
  5. Step 5: Solve for x
    x = 114,086,133,810.78/355,114.60
  6. Step 6: Final answer
    x = 321,265.68

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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.