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Finding the Fourth Proportional to 497,145.90, 745,843.05 and 160,218.30

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Solution

The fourth proportional to 497,145.90, 745,843.05 and 160,218.30 is: 240,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,145.90 : 745,843.05 = 160,218.30 : x
  2. Step 2: Convert to fraction form
    497,145.90/745,843.05 = 160,218.30/x
  3. Step 3: Cross multiply
    497,145.90x = 745,843.05 × 160,218.30
  4. Step 4: Simplify right side
    497,145.90x = 119,497,705,537.82
  5. Step 5: Solve for x
    x = 119,497,705,537.82/497,145.90
  6. Step 6: Final answer
    x = 240,367.48

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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.