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Finding the Fourth Proportional to 413,345, 620,056.68 and 160,644.97

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Solution

The fourth proportional to 413,345, 620,056.68 and 160,644.97 is: 240,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,345 : 620,056.68 = 160,644.97 : x
  2. Step 2: Convert to fraction form
    413,345/620,056.68 = 160,644.97/x
  3. Step 3: Cross multiply
    413,345x = 620,056.68 × 160,644.97
  4. Step 4: Simplify right side
    413,345x = 99,608,986,756.90
  5. Step 5: Solve for x
    x = 99,608,986,756.90/413,345
  6. Step 6: Final answer
    x = 240,982.68

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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.