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Finding the Fourth Proportional to 1,356,596,978.49, 2,034,413,904.87 and 398,029,145.49

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Solution

The fourth proportional to 1,356,596,978.49, 2,034,413,904.87 and 398,029,145.49 is: 596,902,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,596,978.49 : 2,034,413,904.87 = 398,029,145.49 : x
  2. Step 2: Convert to fraction form
    1,356,596,978.49/2,034,413,904.87 = 398,029,145.49/x
  3. Step 3: Cross multiply
    1,356,596,978.49x = 2,034,413,904.87 × 398,029,145.49
  4. Step 4: Simplify right side
    1,356,596,978.49x = 809,756,028,128,380,160
  5. Step 5: Solve for x
    x = 809,756,028,128,380,160/1,356,596,978.49
  6. Step 6: Final answer
    x = 596,902,426.42

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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.