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Finding the Fourth Proportional to 257,996,856.20, 362,215,965.40 and 257,996,856.20

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Solution

The fourth proportional to 257,996,856.20, 362,215,965.40 and 257,996,856.20 is: 362,215,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,856.20 : 362,215,965.40 = 257,996,856.20 : x
  2. Step 2: Convert to fraction form
    257,996,856.20/362,215,965.40 = 257,996,856.20/x
  3. Step 3: Cross multiply
    257,996,856.20x = 362,215,965.40 × 257,996,856.20
  4. Step 4: Simplify right side
    257,996,856.20x = 93,450,580,338,647,968
  5. Step 5: Solve for x
    x = 93,450,580,338,647,968/257,996,856.20
  6. Step 6: Final answer
    x = 362,215,965.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.