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Finding the Fourth Proportional to 219,493, 302,913.30 and 123,997.24

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Solution

The fourth proportional to 219,493, 302,913.30 and 123,997.24 is: 171,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,493 : 302,913.30 = 123,997.24 : x
  2. Step 2: Convert to fraction form
    219,493/302,913.30 = 123,997.24/x
  3. Step 3: Cross multiply
    219,493x = 302,913.30 × 123,997.24
  4. Step 4: Simplify right side
    219,493x = 37,560,413,159.29
  5. Step 5: Solve for x
    x = 37,560,413,159.29/219,493
  6. Step 6: Final answer
    x = 171,123.51

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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.