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Finding the Fourth Proportional to 298,947,352.12, 412,559,588.48 and 188,898,911.80

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Solution

The fourth proportional to 298,947,352.12, 412,559,588.48 and 188,898,911.80 is: 260,688,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,947,352.12 : 412,559,588.48 = 188,898,911.80 : x
  2. Step 2: Convert to fraction form
    298,947,352.12/412,559,588.48 = 188,898,911.80/x
  3. Step 3: Cross multiply
    298,947,352.12x = 412,559,588.48 × 188,898,911.80
  4. Step 4: Simplify right side
    298,947,352.12x = 77,932,057,316,527,824
  5. Step 5: Solve for x
    x = 77,932,057,316,527,824/298,947,352.12
  6. Step 6: Final answer
    x = 260,688,234.11

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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.