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Finding the Fourth Proportional to 340,408.89, 469,760.31 and 187,443.90

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Solution

The fourth proportional to 340,408.89, 469,760.31 and 187,443.90 is: 258,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,408.89 : 469,760.31 = 187,443.90 : x
  2. Step 2: Convert to fraction form
    340,408.89/469,760.31 = 187,443.90/x
  3. Step 3: Cross multiply
    340,408.89x = 469,760.31 × 187,443.90
  4. Step 4: Simplify right side
    340,408.89x = 88,053,704,571.61
  5. Step 5: Solve for x
    x = 88,053,704,571.61/340,408.89
  6. Step 6: Final answer
    x = 258,670.40

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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.