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Finding the Fourth Proportional to 491,878.58, 738,032.29 and 172,259.73

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Solution

The fourth proportional to 491,878.58, 738,032.29 and 172,259.73 is: 258,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,878.58 : 738,032.29 = 172,259.73 : x
  2. Step 2: Convert to fraction form
    491,878.58/738,032.29 = 172,259.73/x
  3. Step 3: Cross multiply
    491,878.58x = 738,032.29 × 172,259.73
  4. Step 4: Simplify right side
    491,878.58x = 127,133,243,006.68
  5. Step 5: Solve for x
    x = 127,133,243,006.68/491,878.58
  6. Step 6: Final answer
    x = 258,464.69

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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.