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Finding the Fourth Proportional to 307,200.74, 423,938.94 and 171,243.32

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Solution

The fourth proportional to 307,200.74, 423,938.94 and 171,243.32 is: 236,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,200.74 : 423,938.94 = 171,243.32 : x
  2. Step 2: Convert to fraction form
    307,200.74/423,938.94 = 171,243.32/x
  3. Step 3: Cross multiply
    307,200.74x = 423,938.94 × 171,243.32
  4. Step 4: Simplify right side
    307,200.74x = 72,596,711,562.88
  5. Step 5: Solve for x
    x = 72,596,711,562.88/307,200.74
  6. Step 6: Final answer
    x = 236,316.85

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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.