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Finding the Fourth Proportional to 538,634.34, 807,703.11 and 159,419.48

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Solution

The fourth proportional to 538,634.34, 807,703.11 and 159,419.48 is: 239,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,634.34 : 807,703.11 = 159,419.48 : x
  2. Step 2: Convert to fraction form
    538,634.34/807,703.11 = 159,419.48/x
  3. Step 3: Cross multiply
    538,634.34x = 807,703.11 × 159,419.48
  4. Step 4: Simplify right side
    538,634.34x = 128,763,609,790.58
  5. Step 5: Solve for x
    x = 128,763,609,790.58/538,634.34
  6. Step 6: Final answer
    x = 239,055.70

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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.