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Finding the Fourth Proportional to 210,876.45, 315,964.75 and 148,415.73

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Solution

The fourth proportional to 210,876.45, 315,964.75 and 148,415.73 is: 222,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,876.45 : 315,964.75 = 148,415.73 : x
  2. Step 2: Convert to fraction form
    210,876.45/315,964.75 = 148,415.73/x
  3. Step 3: Cross multiply
    210,876.45x = 315,964.75 × 148,415.73
  4. Step 4: Simplify right side
    210,876.45x = 46,894,139,025.52
  5. Step 5: Solve for x
    x = 46,894,139,025.52/210,876.45
  6. Step 6: Final answer
    x = 222,377.32

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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.