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Finding the Fourth Proportional to 538,573.36, 743,231.28 and 312,350.08

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Solution

The fourth proportional to 538,573.36, 743,231.28 and 312,350.08 is: 431,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,573.36 : 743,231.28 = 312,350.08 : x
  2. Step 2: Convert to fraction form
    538,573.36/743,231.28 = 312,350.08/x
  3. Step 3: Cross multiply
    538,573.36x = 743,231.28 × 312,350.08
  4. Step 4: Simplify right side
    538,573.36x = 232,148,349,766.50
  5. Step 5: Solve for x
    x = 232,148,349,766.50/538,573.36
  6. Step 6: Final answer
    x = 431,043.14

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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.