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Finding the Fourth Proportional to 491,425, 736,795.48 and 217,722.60

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Solution

The fourth proportional to 491,425, 736,795.48 and 217,722.60 is: 326,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,425 : 736,795.48 = 217,722.60 : x
  2. Step 2: Convert to fraction form
    491,425/736,795.48 = 217,722.60/x
  3. Step 3: Cross multiply
    491,425x = 736,795.48 × 217,722.60
  4. Step 4: Simplify right side
    491,425x = 160,417,027,573.85
  5. Step 5: Solve for x
    x = 160,417,027,573.85/491,425
  6. Step 6: Final answer
    x = 326,432.37

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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.