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Finding the Fourth Proportional to 210,411.52, 315,690.99 and 131,433.28

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Solution

The fourth proportional to 210,411.52, 315,690.99 and 131,433.28 is: 197,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,411.52 : 315,690.99 = 131,433.28 : x
  2. Step 2: Convert to fraction form
    210,411.52/315,690.99 = 131,433.28/x
  3. Step 3: Cross multiply
    210,411.52x = 315,690.99 × 131,433.28
  4. Step 4: Simplify right side
    210,411.52x = 41,492,302,282.15
  5. Step 5: Solve for x
    x = 41,492,302,282.15/210,411.52
  6. Step 6: Final answer
    x = 197,195.96

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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.