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Finding the Fourth Proportional to 210,438.84, 290,405.28 and 114,945.56

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Solution

The fourth proportional to 210,438.84, 290,405.28 and 114,945.56 is: 158,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438.84 : 290,405.28 = 114,945.56 : x
  2. Step 2: Convert to fraction form
    210,438.84/290,405.28 = 114,945.56/x
  3. Step 3: Cross multiply
    210,438.84x = 290,405.28 × 114,945.56
  4. Step 4: Simplify right side
    210,438.84x = 33,380,797,536.56
  5. Step 5: Solve for x
    x = 33,380,797,536.56/210,438.84
  6. Step 6: Final answer
    x = 158,624.70

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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.