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Finding the Fourth Proportional to 343,311.80, 513,930.90 and 301,839.80

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Solution

The fourth proportional to 343,311.80, 513,930.90 and 301,839.80 is: 451,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,311.80 : 513,930.90 = 301,839.80 : x
  2. Step 2: Convert to fraction form
    343,311.80/513,930.90 = 301,839.80/x
  3. Step 3: Cross multiply
    343,311.80x = 513,930.90 × 301,839.80
  4. Step 4: Simplify right side
    343,311.80x = 155,124,800,069.82
  5. Step 5: Solve for x
    x = 155,124,800,069.82/343,311.80
  6. Step 6: Final answer
    x = 451,848.15

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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.