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Finding the Fourth Proportional to 538,671.60, 808,002.40 and 206,247.60

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Solution

The fourth proportional to 538,671.60, 808,002.40 and 206,247.60 is: 309,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,671.60 : 808,002.40 = 206,247.60 : x
  2. Step 2: Convert to fraction form
    538,671.60/808,002.40 = 206,247.60/x
  3. Step 3: Cross multiply
    538,671.60x = 808,002.40 × 206,247.60
  4. Step 4: Simplify right side
    538,671.60x = 166,648,555,794.24
  5. Step 5: Solve for x
    x = 166,648,555,794.24/538,671.60
  6. Step 6: Final answer
    x = 309,369.49

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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.