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Finding the Fourth Proportional to 277,138.90, 415,708.70 and 66,776.84

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Solution

The fourth proportional to 277,138.90, 415,708.70 and 66,776.84 is: 100,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138.90 : 415,708.70 = 66,776.84 : x
  2. Step 2: Convert to fraction form
    277,138.90/415,708.70 = 66,776.84/x
  3. Step 3: Cross multiply
    277,138.90x = 415,708.70 × 66,776.84
  4. Step 4: Simplify right side
    277,138.90x = 27,759,711,434.91
  5. Step 5: Solve for x
    x = 27,759,711,434.91/277,138.90
  6. Step 6: Final answer
    x = 100,165.34

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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.