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Finding the Fourth Proportional to 298,634.90, 446,656.35 and 267,271.70

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Solution

The fourth proportional to 298,634.90, 446,656.35 and 267,271.70 is: 399,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634.90 : 446,656.35 = 267,271.70 : x
  2. Step 2: Convert to fraction form
    298,634.90/446,656.35 = 267,271.70/x
  3. Step 3: Cross multiply
    298,634.90x = 446,656.35 × 267,271.70
  4. Step 4: Simplify right side
    298,634.90x = 119,378,601,980.30
  5. Step 5: Solve for x
    x = 119,378,601,980.30/298,634.90
  6. Step 6: Final answer
    x = 399,747.66

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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.