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Finding the Fourth Proportional to 289,301.92, 433,955.76 and 139,507.36

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Solution

The fourth proportional to 289,301.92, 433,955.76 and 139,507.36 is: 209,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,301.92 : 433,955.76 = 139,507.36 : x
  2. Step 2: Convert to fraction form
    289,301.92/433,955.76 = 139,507.36/x
  3. Step 3: Cross multiply
    289,301.92x = 433,955.76 × 139,507.36
  4. Step 4: Simplify right side
    289,301.92x = 60,540,022,434.39
  5. Step 5: Solve for x
    x = 60,540,022,434.39/289,301.92
  6. Step 6: Final answer
    x = 209,262.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.