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Finding the Fourth Proportional to 277,309.72, 382,686.96 and 156,450.70

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Solution

The fourth proportional to 277,309.72, 382,686.96 and 156,450.70 is: 215,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,309.72 : 382,686.96 = 156,450.70 : x
  2. Step 2: Convert to fraction form
    277,309.72/382,686.96 = 156,450.70/x
  3. Step 3: Cross multiply
    277,309.72x = 382,686.96 × 156,450.70
  4. Step 4: Simplify right side
    277,309.72x = 59,871,642,772.87
  5. Step 5: Solve for x
    x = 59,871,642,772.87/277,309.72
  6. Step 6: Final answer
    x = 215,901.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.