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Finding the Fourth Proportional to 257,996,743.20, 362,215,807.20 and 257,996,743.20

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Solution

The fourth proportional to 257,996,743.20, 362,215,807.20 and 257,996,743.20 is: 362,215,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,743.20 : 362,215,807.20 = 257,996,743.20 : x
  2. Step 2: Convert to fraction form
    257,996,743.20/362,215,807.20 = 257,996,743.20/x
  3. Step 3: Cross multiply
    257,996,743.20x = 362,215,807.20 × 257,996,743.20
  4. Step 4: Simplify right side
    257,996,743.20x = 93,450,498,593,159,104
  5. Step 5: Solve for x
    x = 93,450,498,593,159,104/257,996,743.20
  6. Step 6: Final answer
    x = 362,215,807.20

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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.