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Finding the Fourth Proportional to 680,696,937.50, 939,349,015.22 and 416,359,512.70

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Solution

The fourth proportional to 680,696,937.50, 939,349,015.22 and 416,359,512.70 is: 574,568,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,696,937.50 : 939,349,015.22 = 416,359,512.70 : x
  2. Step 2: Convert to fraction form
    680,696,937.50/939,349,015.22 = 416,359,512.70/x
  3. Step 3: Cross multiply
    680,696,937.50x = 939,349,015.22 × 416,359,512.70
  4. Step 4: Simplify right side
    680,696,937.50x = 391,106,898,230,910,464
  5. Step 5: Solve for x
    x = 391,106,898,230,910,464/680,696,937.50
  6. Step 6: Final answer
    x = 574,568,323.56

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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.