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Finding the Fourth Proportional to 538,278.26, 807,588.86 and 159,201.32

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Solution

The fourth proportional to 538,278.26, 807,588.86 and 159,201.32 is: 238,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,278.26 : 807,588.86 = 159,201.32 : x
  2. Step 2: Convert to fraction form
    538,278.26/807,588.86 = 159,201.32/x
  3. Step 3: Cross multiply
    538,278.26x = 807,588.86 × 159,201.32
  4. Step 4: Simplify right side
    538,278.26x = 128,569,207,695.34
  5. Step 5: Solve for x
    x = 128,569,207,695.34/538,278.26
  6. Step 6: Final answer
    x = 238,852.69

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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.