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Finding the Fourth Proportional to 307,037.90, 423,695.40 and 169,189.68

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Solution

The fourth proportional to 307,037.90, 423,695.40 and 169,189.68 is: 233,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,037.90 : 423,695.40 = 169,189.68 : x
  2. Step 2: Convert to fraction form
    307,037.90/423,695.40 = 169,189.68/x
  3. Step 3: Cross multiply
    307,037.90x = 423,695.40 × 169,189.68
  4. Step 4: Simplify right side
    307,037.90x = 71,684,889,143.47
  5. Step 5: Solve for x
    x = 71,684,889,143.47/307,037.90
  6. Step 6: Final answer
    x = 233,472.44

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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.