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Finding the Fourth Proportional to 538,290.92, 807,594.26 and 159,221.63

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Solution

The fourth proportional to 538,290.92, 807,594.26 and 159,221.63 is: 238,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,290.92 : 807,594.26 = 159,221.63 : x
  2. Step 2: Convert to fraction form
    538,290.92/807,594.26 = 159,221.63/x
  3. Step 3: Cross multiply
    538,290.92x = 807,594.26 × 159,221.63
  4. Step 4: Simplify right side
    538,290.92x = 128,586,473,855.17
  5. Step 5: Solve for x
    x = 128,586,473,855.17/538,290.92
  6. Step 6: Final answer
    x = 238,879.14

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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.