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Finding the Fourth Proportional to 277,114.90, 415,672.35 and 99,627.70

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Solution

The fourth proportional to 277,114.90, 415,672.35 and 99,627.70 is: 149,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,114.90 : 415,672.35 = 99,627.70 : x
  2. Step 2: Convert to fraction form
    277,114.90/415,672.35 = 99,627.70/x
  3. Step 3: Cross multiply
    277,114.90x = 415,672.35 × 99,627.70
  4. Step 4: Simplify right side
    277,114.90x = 41,412,480,184.10
  5. Step 5: Solve for x
    x = 41,412,480,184.10/277,114.90
  6. Step 6: Final answer
    x = 149,441.55

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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.