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Finding the Fourth Proportional to 538,429.33, 743,037.47 and 296,720.57

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Solution

The fourth proportional to 538,429.33, 743,037.47 and 296,720.57 is: 409,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,429.33 : 743,037.47 = 296,720.57 : x
  2. Step 2: Convert to fraction form
    538,429.33/743,037.47 = 296,720.57/x
  3. Step 3: Cross multiply
    538,429.33x = 743,037.47 × 296,720.57
  4. Step 4: Simplify right side
    538,429.33x = 220,474,501,629.76
  5. Step 5: Solve for x
    x = 220,474,501,629.76/538,429.33
  6. Step 6: Final answer
    x = 409,477.14

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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.