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Finding the Fourth Proportional to 478,654.92, 718,067.76 and 158,826

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Solution

The fourth proportional to 478,654.92, 718,067.76 and 158,826 is: 238,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,654.92 : 718,067.76 = 158,826 : x
  2. Step 2: Convert to fraction form
    478,654.92/718,067.76 = 158,826/x
  3. Step 3: Cross multiply
    478,654.92x = 718,067.76 × 158,826
  4. Step 4: Simplify right side
    478,654.92x = 114,047,830,049.76
  5. Step 5: Solve for x
    x = 114,047,830,049.76/478,654.92
  6. Step 6: Final answer
    x = 238,267.33

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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.