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Finding the Fourth Proportional to 497,198.93, 745,299 and 159,991.74

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Solution

The fourth proportional to 497,198.93, 745,299 and 159,991.74 is: 239,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,198.93 : 745,299 = 159,991.74 : x
  2. Step 2: Convert to fraction form
    497,198.93/745,299 = 159,991.74/x
  3. Step 3: Cross multiply
    497,198.93x = 745,299 × 159,991.74
  4. Step 4: Simplify right side
    497,198.93x = 119,241,683,830.26
  5. Step 5: Solve for x
    x = 119,241,683,830.26/497,198.93
  6. Step 6: Final answer
    x = 239,826.91

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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.