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Finding the Fourth Proportional to 538,564.61, 743,175.47 and 312,224.69

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Solution

The fourth proportional to 538,564.61, 743,175.47 and 312,224.69 is: 430,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,564.61 : 743,175.47 = 312,224.69 : x
  2. Step 2: Convert to fraction form
    538,564.61/743,175.47 = 312,224.69/x
  3. Step 3: Cross multiply
    538,564.61x = 743,175.47 × 312,224.69
  4. Step 4: Simplify right side
    538,564.61x = 232,037,729,175.23
  5. Step 5: Solve for x
    x = 232,037,729,175.23/538,564.61
  6. Step 6: Final answer
    x = 430,844.74

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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.