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Finding the Fourth Proportional to 408,672,356.40, 613,008,534.60 and 214,508,746.80

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Solution

The fourth proportional to 408,672,356.40, 613,008,534.60 and 214,508,746.80 is: 321,763,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672,356.40 : 613,008,534.60 = 214,508,746.80 : x
  2. Step 2: Convert to fraction form
    408,672,356.40/613,008,534.60 = 214,508,746.80/x
  3. Step 3: Cross multiply
    408,672,356.40x = 613,008,534.60 × 214,508,746.80
  4. Step 4: Simplify right side
    408,672,356.40x = 131,495,692,534,750,448
  5. Step 5: Solve for x
    x = 131,495,692,534,750,448/408,672,356.40
  6. Step 6: Final answer
    x = 321,763,120.20

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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.