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Finding the Fourth Proportional to 340,771.12, 469,988.08 and 299,846.88

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Solution

The fourth proportional to 340,771.12, 469,988.08 and 299,846.88 is: 413,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,771.12 : 469,988.08 = 299,846.88 : x
  2. Step 2: Convert to fraction form
    340,771.12/469,988.08 = 299,846.88/x
  3. Step 3: Cross multiply
    340,771.12x = 469,988.08 × 299,846.88
  4. Step 4: Simplify right side
    340,771.12x = 140,924,458,675.57
  5. Step 5: Solve for x
    x = 140,924,458,675.57/340,771.12
  6. Step 6: Final answer
    x = 413,545.78

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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.