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Finding the Fourth Proportional to 690,608,980.80, 1,035,747,583.20 and 398,845,166.40

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Solution

The fourth proportional to 690,608,980.80, 1,035,747,583.20 and 398,845,166.40 is: 598,171,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,608,980.80 : 1,035,747,583.20 = 398,845,166.40 : x
  2. Step 2: Convert to fraction form
    690,608,980.80/1,035,747,583.20 = 398,845,166.40/x
  3. Step 3: Cross multiply
    690,608,980.80x = 1,035,747,583.20 × 398,845,166.40
  4. Step 4: Simplify right side
    690,608,980.80x = 413,102,917,169,801,856
  5. Step 5: Solve for x
    x = 413,102,917,169,801,856/690,608,980.80
  6. Step 6: Final answer
    x = 598,171,944.84

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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.