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Finding the Fourth Proportional to 277,820.70, 416,925.45 and 120,162.30

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Solution

The fourth proportional to 277,820.70, 416,925.45 and 120,162.30 is: 180,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.70 : 416,925.45 = 120,162.30 : x
  2. Step 2: Convert to fraction form
    277,820.70/416,925.45 = 120,162.30/x
  3. Step 3: Cross multiply
    277,820.70x = 416,925.45 × 120,162.30
  4. Step 4: Simplify right side
    277,820.70x = 50,098,721,000.54
  5. Step 5: Solve for x
    x = 50,098,721,000.54/277,820.70
  6. Step 6: Final answer
    x = 180,327.53

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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.