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Finding the Fourth Proportional to 538,427.70, 743,035.24 and 296,718.96

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Solution

The fourth proportional to 538,427.70, 743,035.24 and 296,718.96 is: 409,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,427.70 : 743,035.24 = 296,718.96 : x
  2. Step 2: Convert to fraction form
    538,427.70/743,035.24 = 296,718.96/x
  3. Step 3: Cross multiply
    538,427.70x = 743,035.24 × 296,718.96
  4. Step 4: Simplify right side
    538,427.70x = 220,472,643,656.15
  5. Step 5: Solve for x
    x = 220,472,643,656.15/538,427.70
  6. Step 6: Final answer
    x = 409,474.93

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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.