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Finding the Fourth Proportional to 272,904,126.40, 409,356,189.60 and 265,729,672.90

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Solution

The fourth proportional to 272,904,126.40, 409,356,189.60 and 265,729,672.90 is: 398,594,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,904,126.40 : 409,356,189.60 = 265,729,672.90 : x
  2. Step 2: Convert to fraction form
    272,904,126.40/409,356,189.60 = 265,729,672.90/x
  3. Step 3: Cross multiply
    272,904,126.40x = 409,356,189.60 × 265,729,672.90
  4. Step 4: Simplify right side
    272,904,126.40x = 108,778,086,361,998,384
  5. Step 5: Solve for x
    x = 108,778,086,361,998,384/272,904,126.40
  6. Step 6: Final answer
    x = 398,594,509.35

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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.