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Finding the Fourth Proportional to 210,551.29, 315,990.71 and 146,958.29

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Solution

The fourth proportional to 210,551.29, 315,990.71 and 146,958.29 is: 220,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,551.29 : 315,990.71 = 146,958.29 : x
  2. Step 2: Convert to fraction form
    210,551.29/315,990.71 = 146,958.29/x
  3. Step 3: Cross multiply
    210,551.29x = 315,990.71 × 146,958.29
  4. Step 4: Simplify right side
    210,551.29x = 46,437,453,198.71
  5. Step 5: Solve for x
    x = 46,437,453,198.71/210,551.29
  6. Step 6: Final answer
    x = 220,551.74

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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.