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Finding the Fourth Proportional to 277,738.80, 383,279.76 and 156,880.32

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Solution

The fourth proportional to 277,738.80, 383,279.76 and 156,880.32 is: 216,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738.80 : 383,279.76 = 156,880.32 : x
  2. Step 2: Convert to fraction form
    277,738.80/383,279.76 = 156,880.32/x
  3. Step 3: Cross multiply
    277,738.80x = 383,279.76 × 156,880.32
  4. Step 4: Simplify right side
    277,738.80x = 60,129,051,398.32
  5. Step 5: Solve for x
    x = 60,129,051,398.32/277,738.80
  6. Step 6: Final answer
    x = 216,494.96

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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.