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Finding the Fourth Proportional to 340,345, 509,625.66 and 239,961.88

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Solution

The fourth proportional to 340,345, 509,625.66 and 239,961.88 is: 359,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,345 : 509,625.66 = 239,961.88 : x
  2. Step 2: Convert to fraction form
    340,345/509,625.66 = 239,961.88/x
  3. Step 3: Cross multiply
    340,345x = 509,625.66 × 239,961.88
  4. Step 4: Simplify right side
    340,345x = 122,290,731,469.84
  5. Step 5: Solve for x
    x = 122,290,731,469.84/340,345
  6. Step 6: Final answer
    x = 359,314.02

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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.