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Finding the Fourth Proportional to 291,339.70, 402,087.10 and 164,040.10

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Solution

The fourth proportional to 291,339.70, 402,087.10 and 164,040.10 is: 226,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,339.70 : 402,087.10 = 164,040.10 : x
  2. Step 2: Convert to fraction form
    291,339.70/402,087.10 = 164,040.10/x
  3. Step 3: Cross multiply
    291,339.70x = 402,087.10 × 164,040.10
  4. Step 4: Simplify right side
    291,339.70x = 65,958,408,092.71
  5. Step 5: Solve for x
    x = 65,958,408,092.71/291,339.70
  6. Step 6: Final answer
    x = 226,396.91

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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.