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Finding the Fourth Proportional to 217,238.98, 299,807.54 and 120,473.14

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Solution

The fourth proportional to 217,238.98, 299,807.54 and 120,473.14 is: 166,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,238.98 : 299,807.54 = 120,473.14 : x
  2. Step 2: Convert to fraction form
    217,238.98/299,807.54 = 120,473.14/x
  3. Step 3: Cross multiply
    217,238.98x = 299,807.54 × 120,473.14
  4. Step 4: Simplify right side
    217,238.98x = 36,118,754,240.44
  5. Step 5: Solve for x
    x = 36,118,754,240.44/217,238.98
  6. Step 6: Final answer
    x = 166,262.77

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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.