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Finding the Fourth Proportional to 538,359.42, 742,892.85 and 312,019.50

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Solution

The fourth proportional to 538,359.42, 742,892.85 and 312,019.50 is: 430,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,359.42 : 742,892.85 = 312,019.50 : x
  2. Step 2: Convert to fraction form
    538,359.42/742,892.85 = 312,019.50/x
  3. Step 3: Cross multiply
    538,359.42x = 742,892.85 × 312,019.50
  4. Step 4: Simplify right side
    538,359.42x = 231,797,055,610.58
  5. Step 5: Solve for x
    x = 231,797,055,610.58/538,359.42
  6. Step 6: Final answer
    x = 430,561.90

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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.