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Finding the Fourth Proportional to 254,145.40, 380,780.70 and 165,353.20

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Solution

The fourth proportional to 254,145.40, 380,780.70 and 165,353.20 is: 247,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,145.40 : 380,780.70 = 165,353.20 : x
  2. Step 2: Convert to fraction form
    254,145.40/380,780.70 = 165,353.20/x
  3. Step 3: Cross multiply
    254,145.40x = 380,780.70 × 165,353.20
  4. Step 4: Simplify right side
    254,145.40x = 62,963,307,243.24
  5. Step 5: Solve for x
    x = 62,963,307,243.24/254,145.40
  6. Step 6: Final answer
    x = 247,745.22

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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.