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Finding the Fourth Proportional to 210,872.46, 315,958.76 and 148,411.74

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Solution

The fourth proportional to 210,872.46, 315,958.76 and 148,411.74 is: 222,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872.46 : 315,958.76 = 148,411.74 : x
  2. Step 2: Convert to fraction form
    210,872.46/315,958.76 = 148,411.74/x
  3. Step 3: Cross multiply
    210,872.46x = 315,958.76 × 148,411.74
  4. Step 4: Simplify right side
    210,872.46x = 46,891,989,339.84
  5. Step 5: Solve for x
    x = 46,891,989,339.84/210,872.46
  6. Step 6: Final answer
    x = 222,371.33

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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.