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Finding the Fourth Proportional to 210,862.58, 315,943.94 and 148,401.86

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Solution

The fourth proportional to 210,862.58, 315,943.94 and 148,401.86 is: 222,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,862.58 : 315,943.94 = 148,401.86 : x
  2. Step 2: Convert to fraction form
    210,862.58/315,943.94 = 148,401.86/x
  3. Step 3: Cross multiply
    210,862.58x = 315,943.94 × 148,401.86
  4. Step 4: Simplify right side
    210,862.58x = 46,886,667,143.01
  5. Step 5: Solve for x
    x = 46,886,667,143.01/210,862.58
  6. Step 6: Final answer
    x = 222,356.51

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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.