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Finding the Fourth Proportional to 290,901.98, 401,447.14 and 163,576.46

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Solution

The fourth proportional to 290,901.98, 401,447.14 and 163,576.46 is: 225,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,901.98 : 401,447.14 = 163,576.46 : x
  2. Step 2: Convert to fraction form
    290,901.98/401,447.14 = 163,576.46/x
  3. Step 3: Cross multiply
    290,901.98x = 401,447.14 × 163,576.46
  4. Step 4: Simplify right side
    290,901.98x = 65,667,302,038.32
  5. Step 5: Solve for x
    x = 65,667,302,038.32/290,901.98
  6. Step 6: Final answer
    x = 225,736.87

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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.