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Finding the Fourth Proportional to 471,092,415.11, 706,311,389.67 and 208,633,945.89

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Solution

The fourth proportional to 471,092,415.11, 706,311,389.67 and 208,633,945.89 is: 312,805,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,092,415.11 : 706,311,389.67 = 208,633,945.89 : x
  2. Step 2: Convert to fraction form
    471,092,415.11/706,311,389.67 = 208,633,945.89/x
  3. Step 3: Cross multiply
    471,092,415.11x = 706,311,389.67 × 208,633,945.89
  4. Step 4: Simplify right side
    471,092,415.11x = 147,360,532,253,901,472
  5. Step 5: Solve for x
    x = 147,360,532,253,901,472/471,092,415.11
  6. Step 6: Final answer
    x = 312,805,996.29

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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.