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Finding the Fourth Proportional to 276,993.40, 415,369.42 and 147,133.78

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Solution

The fourth proportional to 276,993.40, 415,369.42 and 147,133.78 is: 220,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,993.40 : 415,369.42 = 147,133.78 : x
  2. Step 2: Convert to fraction form
    276,993.40/415,369.42 = 147,133.78/x
  3. Step 3: Cross multiply
    276,993.40x = 415,369.42 × 147,133.78
  4. Step 4: Simplify right side
    276,993.40x = 61,114,872,038.86
  5. Step 5: Solve for x
    x = 61,114,872,038.86/276,993.40
  6. Step 6: Final answer
    x = 220,636.57

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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.