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Finding the Fourth Proportional to 491,489,133.40, 678,254,978.01 and 265,428,098.04

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Solution

The fourth proportional to 491,489,133.40, 678,254,978.01 and 265,428,098.04 is: 366,290,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,489,133.40 : 678,254,978.01 = 265,428,098.04 : x
  2. Step 2: Convert to fraction form
    491,489,133.40/678,254,978.01 = 265,428,098.04/x
  3. Step 3: Cross multiply
    491,489,133.40x = 678,254,978.01 × 265,428,098.04
  4. Step 4: Simplify right side
    491,489,133.40x = 180,027,928,802,895,104
  5. Step 5: Solve for x
    x = 180,027,928,802,895,104/491,489,133.40
  6. Step 6: Final answer
    x = 366,290,761.22

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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.