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Finding the Fourth Proportional to 409,394.56, 613,625.28 and 187,312

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Solution

The fourth proportional to 409,394.56, 613,625.28 and 187,312 is: 280,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,394.56 : 613,625.28 = 187,312 : x
  2. Step 2: Convert to fraction form
    409,394.56/613,625.28 = 187,312/x
  3. Step 3: Cross multiply
    409,394.56x = 613,625.28 × 187,312
  4. Step 4: Simplify right side
    409,394.56x = 114,939,378,447.36
  5. Step 5: Solve for x
    x = 114,939,378,447.36/409,394.56
  6. Step 6: Final answer
    x = 280,754.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.