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Finding the Fourth Proportional to 254,301.20, 381,889.20 and 165,946.40

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Solution

The fourth proportional to 254,301.20, 381,889.20 and 165,946.40 is: 249,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,301.20 : 381,889.20 = 165,946.40 : x
  2. Step 2: Convert to fraction form
    254,301.20/381,889.20 = 165,946.40/x
  3. Step 3: Cross multiply
    254,301.20x = 381,889.20 × 165,946.40
  4. Step 4: Simplify right side
    254,301.20x = 63,373,137,938.88
  5. Step 5: Solve for x
    x = 63,373,137,938.88/254,301.20
  6. Step 6: Final answer
    x = 249,205.03

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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.