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Finding the Fourth Proportional to 277,141.80, 382,450.36 and 156,280.92

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Solution

The fourth proportional to 277,141.80, 382,450.36 and 156,280.92 is: 215,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,141.80 : 382,450.36 = 156,280.92 : x
  2. Step 2: Convert to fraction form
    277,141.80/382,450.36 = 156,280.92/x
  3. Step 3: Cross multiply
    277,141.80x = 382,450.36 × 156,280.92
  4. Step 4: Simplify right side
    277,141.80x = 59,769,694,115.13
  5. Step 5: Solve for x
    x = 59,769,694,115.13/277,141.80
  6. Step 6: Final answer
    x = 215,664.67

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1.5x scale

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.