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Finding the Fourth Proportional to 601,021.64, 829,432.20 and 342,940.60

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Solution

The fourth proportional to 601,021.64, 829,432.20 and 342,940.60 is: 473,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,021.64 : 829,432.20 = 342,940.60 : x
  2. Step 2: Convert to fraction form
    601,021.64/829,432.20 = 342,940.60/x
  3. Step 3: Cross multiply
    601,021.64x = 829,432.20 × 342,940.60
  4. Step 4: Simplify right side
    601,021.64x = 284,445,978,650.14
  5. Step 5: Solve for x
    x = 284,445,978,650.14/601,021.64
  6. Step 6: Final answer
    x = 473,270.78

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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.