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Finding the Fourth Proportional to 257,401,908.60, 386,102,862.90 and 257,401,908.60

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Solution

The fourth proportional to 257,401,908.60, 386,102,862.90 and 257,401,908.60 is: 386,102,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,401,908.60 : 386,102,862.90 = 257,401,908.60 : x
  2. Step 2: Convert to fraction form
    257,401,908.60/386,102,862.90 = 257,401,908.60/x
  3. Step 3: Cross multiply
    257,401,908.60x = 386,102,862.90 × 257,401,908.60
  4. Step 4: Simplify right side
    257,401,908.60x = 99,383,613,826,384,128
  5. Step 5: Solve for x
    x = 99,383,613,826,384,128/257,401,908.60
  6. Step 6: Final answer
    x = 386,102,862.90

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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.