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Finding the Fourth Proportional to 309,604.50, 464,428.71 and 122,616

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Solution

The fourth proportional to 309,604.50, 464,428.71 and 122,616 is: 183,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,604.50 : 464,428.71 = 122,616 : x
  2. Step 2: Convert to fraction form
    309,604.50/464,428.71 = 122,616/x
  3. Step 3: Cross multiply
    309,604.50x = 464,428.71 × 122,616
  4. Step 4: Simplify right side
    309,604.50x = 56,946,390,705.36
  5. Step 5: Solve for x
    x = 56,946,390,705.36/309,604.50
  6. Step 6: Final answer
    x = 183,932.70

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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.