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Finding the Fourth Proportional to 615,944, 923,916 and 149,000

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Solution

The fourth proportional to 615,944, 923,916 and 149,000 is: 223,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,944 : 923,916 = 149,000 : x
  2. Step 2: Convert to fraction form
    615,944/923,916 = 149,000/x
  3. Step 3: Cross multiply
    615,944x = 923,916 × 149,000
  4. Step 4: Simplify right side
    615,944x = 137,663,484,000
  5. Step 5: Solve for x
    x = 137,663,484,000/615,944
  6. Step 6: Final answer
    x = 223,500

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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.