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Finding the Fourth Proportional to 650,899,379.21, 897,721,411.79 and 428,109,776.69

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Solution

The fourth proportional to 650,899,379.21, 897,721,411.79 and 428,109,776.69 is: 590,449,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,899,379.21 : 897,721,411.79 = 428,109,776.69 : x
  2. Step 2: Convert to fraction form
    650,899,379.21/897,721,411.79 = 428,109,776.69/x
  3. Step 3: Cross multiply
    650,899,379.21x = 897,721,411.79 × 428,109,776.69
  4. Step 4: Simplify right side
    650,899,379.21x = 384,323,313,127,830,080
  5. Step 5: Solve for x
    x = 384,323,313,127,830,080/650,899,379.21
  6. Step 6: Final answer
    x = 590,449,653.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.