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Finding the Fourth Proportional to 310,253.29, 465,121.59 and 120,669.09

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Solution

The fourth proportional to 310,253.29, 465,121.59 and 120,669.09 is: 180,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,253.29 : 465,121.59 = 120,669.09 : x
  2. Step 2: Convert to fraction form
    310,253.29/465,121.59 = 120,669.09/x
  3. Step 3: Cross multiply
    310,253.29x = 465,121.59 × 120,669.09
  4. Step 4: Simplify right side
    310,253.29x = 56,125,800,103.01
  5. Step 5: Solve for x
    x = 56,125,800,103.01/310,253.29
  6. Step 6: Final answer
    x = 180,903.16

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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.