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Finding the Fourth Proportional to 682,709,882, 941,839,405.56 and 400,308,177.20

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Solution

The fourth proportional to 682,709,882, 941,839,405.56 and 400,308,177.20 is: 552,249,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,709,882 : 941,839,405.56 = 400,308,177.20 : x
  2. Step 2: Convert to fraction form
    682,709,882/941,839,405.56 = 400,308,177.20/x
  3. Step 3: Cross multiply
    682,709,882x = 941,839,405.56 × 400,308,177.20
  4. Step 4: Simplify right side
    682,709,882x = 377,026,015,654,855,104
  5. Step 5: Solve for x
    x = 377,026,015,654,855,104/682,709,882
  6. Step 6: Final answer
    x = 552,249,243.19

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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.