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Finding the Fourth Proportional to 538,272.32, 807,404.48 and 138,879.20

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Solution

The fourth proportional to 538,272.32, 807,404.48 and 138,879.20 is: 208,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,272.32 : 807,404.48 = 138,879.20 : x
  2. Step 2: Convert to fraction form
    538,272.32/807,404.48 = 138,879.20/x
  3. Step 3: Cross multiply
    538,272.32x = 807,404.48 × 138,879.20
  4. Step 4: Simplify right side
    538,272.32x = 112,131,688,258.82
  5. Step 5: Solve for x
    x = 112,131,688,258.82/538,272.32
  6. Step 6: Final answer
    x = 208,317.77

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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.