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Finding the Fourth Proportional to 275,663,768.40, 386,216,253.90 and 275,663,768.40

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Solution

The fourth proportional to 275,663,768.40, 386,216,253.90 and 275,663,768.40 is: 386,216,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,663,768.40 : 386,216,253.90 = 275,663,768.40 : x
  2. Step 2: Convert to fraction form
    275,663,768.40/386,216,253.90 = 275,663,768.40/x
  3. Step 3: Cross multiply
    275,663,768.40x = 386,216,253.90 × 275,663,768.40
  4. Step 4: Simplify right side
    275,663,768.40x = 106,465,827,967,405,184
  5. Step 5: Solve for x
    x = 106,465,827,967,405,184/275,663,768.40
  6. Step 6: Final answer
    x = 386,216,253.90

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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.