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Finding the Fourth Proportional to 499,072,287.40, 748,658,456.70 and 171,504,658.60

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Solution

The fourth proportional to 499,072,287.40, 748,658,456.70 and 171,504,658.60 is: 257,274,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,072,287.40 : 748,658,456.70 = 171,504,658.60 : x
  2. Step 2: Convert to fraction form
    499,072,287.40/748,658,456.70 = 171,504,658.60/x
  3. Step 3: Cross multiply
    499,072,287.40x = 748,658,456.70 × 171,504,658.60
  4. Step 4: Simplify right side
    499,072,287.40x = 128,398,413,024,336,384
  5. Step 5: Solve for x
    x = 128,398,413,024,336,384/499,072,287.40
  6. Step 6: Final answer
    x = 257,274,179.04

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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.