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Finding the Fourth Proportional to 340,395.89, 469,742.49 and 187,431.03

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Solution

The fourth proportional to 340,395.89, 469,742.49 and 187,431.03 is: 258,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,395.89 : 469,742.49 = 187,431.03 : x
  2. Step 2: Convert to fraction form
    340,395.89/469,742.49 = 187,431.03/x
  3. Step 3: Cross multiply
    340,395.89x = 469,742.49 × 187,431.03
  4. Step 4: Simplify right side
    340,395.89x = 88,044,318,735.46
  5. Step 5: Solve for x
    x = 88,044,318,735.46/340,395.89
  6. Step 6: Final answer
    x = 258,652.71

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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.