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Finding the Fourth Proportional to 538,586.40, 743,215.42 and 296,855.66

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Solution

The fourth proportional to 538,586.40, 743,215.42 and 296,855.66 is: 409,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,586.40 : 743,215.42 = 296,855.66 : x
  2. Step 2: Convert to fraction form
    538,586.40/743,215.42 = 296,855.66/x
  3. Step 3: Cross multiply
    538,586.40x = 743,215.42 × 296,855.66
  4. Step 4: Simplify right side
    538,586.40x = 220,627,704,026.28
  5. Step 5: Solve for x
    x = 220,627,704,026.28/538,586.40
  6. Step 6: Final answer
    x = 409,642.17

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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.