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Finding the Fourth Proportional to 331,778,728.40, 497,668,092.60 and 311,606,747.60

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Solution

The fourth proportional to 331,778,728.40, 497,668,092.60 and 311,606,747.60 is: 467,410,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,778,728.40 : 497,668,092.60 = 311,606,747.60 : x
  2. Step 2: Convert to fraction form
    331,778,728.40/497,668,092.60 = 311,606,747.60/x
  3. Step 3: Cross multiply
    331,778,728.40x = 497,668,092.60 × 311,606,747.60
  4. Step 4: Simplify right side
    331,778,728.40x = 155,076,735,719,381,632
  5. Step 5: Solve for x
    x = 155,076,735,719,381,632/331,778,728.40
  6. Step 6: Final answer
    x = 467,410,121.40

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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.