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Finding the Fourth Proportional to 313,965,303.78, 470,912,021.16 and 83,952,324.54

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Solution

The fourth proportional to 313,965,303.78, 470,912,021.16 and 83,952,324.54 is: 125,918,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,965,303.78 : 470,912,021.16 = 83,952,324.54 : x
  2. Step 2: Convert to fraction form
    313,965,303.78/470,912,021.16 = 83,952,324.54/x
  3. Step 3: Cross multiply
    313,965,303.78x = 470,912,021.16 × 83,952,324.54
  4. Step 4: Simplify right side
    313,965,303.78x = 39,534,158,830,211,672
  5. Step 5: Solve for x
    x = 39,534,158,830,211,672/313,965,303.78
  6. Step 6: Final answer
    x = 125,918,878.15

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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.