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Finding the Fourth Proportional to 277,502.64, 416,256.39 and 67,140.78

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Solution

The fourth proportional to 277,502.64, 416,256.39 and 67,140.78 is: 100,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.64 : 416,256.39 = 67,140.78 : x
  2. Step 2: Convert to fraction form
    277,502.64/416,256.39 = 67,140.78/x
  3. Step 3: Cross multiply
    277,502.64x = 416,256.39 × 67,140.78
  4. Step 4: Simplify right side
    277,502.64x = 27,947,778,704.58
  5. Step 5: Solve for x
    x = 27,947,778,704.58/277,502.64
  6. Step 6: Final answer
    x = 100,711.76

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1.5x scale

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.