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Finding the Fourth Proportional to 277,518.70, 416,278.05 and 202,285.90

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Solution

The fourth proportional to 277,518.70, 416,278.05 and 202,285.90 is: 303,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,518.70 : 416,278.05 = 202,285.90 : x
  2. Step 2: Convert to fraction form
    277,518.70/416,278.05 = 202,285.90/x
  3. Step 3: Cross multiply
    277,518.70x = 416,278.05 × 202,285.90
  4. Step 4: Simplify right side
    277,518.70x = 84,207,179,994.50
  5. Step 5: Solve for x
    x = 84,207,179,994.50/277,518.70
  6. Step 6: Final answer
    x = 303,428.85

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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.