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Finding the Fourth Proportional to 339,946.72, 509,978.40 and 182,132.80

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Solution

The fourth proportional to 339,946.72, 509,978.40 and 182,132.80 is: 273,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,946.72 : 509,978.40 = 182,132.80 : x
  2. Step 2: Convert to fraction form
    339,946.72/509,978.40 = 182,132.80/x
  3. Step 3: Cross multiply
    339,946.72x = 509,978.40 × 182,132.80
  4. Step 4: Simplify right side
    339,946.72x = 92,883,793,931.52
  5. Step 5: Solve for x
    x = 92,883,793,931.52/339,946.72
  6. Step 6: Final answer
    x = 273,230.45

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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.