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Finding the Fourth Proportional to 486,521,804.20, 728,765,259.90 and 227,957,708.20

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Solution

The fourth proportional to 486,521,804.20, 728,765,259.90 and 227,957,708.20 is: 341,459,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,521,804.20 : 728,765,259.90 = 227,957,708.20 : x
  2. Step 2: Convert to fraction form
    486,521,804.20/728,765,259.90 = 227,957,708.20/x
  3. Step 3: Cross multiply
    486,521,804.20x = 728,765,259.90 × 227,957,708.20
  4. Step 4: Simplify right side
    486,521,804.20x = 166,127,658,462,581,344
  5. Step 5: Solve for x
    x = 166,127,658,462,581,344/486,521,804.20
  6. Step 6: Final answer
    x = 341,459,842.15

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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.