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Finding the Fourth Proportional to 210,451.72, 290,418.54 and 114,958.84

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Solution

The fourth proportional to 210,451.72, 290,418.54 and 114,958.84 is: 158,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,451.72 : 290,418.54 = 114,958.84 : x
  2. Step 2: Convert to fraction form
    210,451.72/290,418.54 = 114,958.84/x
  3. Step 3: Cross multiply
    210,451.72x = 290,418.54 × 114,958.84
  4. Step 4: Simplify right side
    210,451.72x = 33,386,178,472.89
  5. Step 5: Solve for x
    x = 33,386,178,472.89/210,451.72
  6. Step 6: Final answer
    x = 158,640.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.