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Finding the Fourth Proportional to 778,978.80, 1,167,812.10 and 405,001.80

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Solution

The fourth proportional to 778,978.80, 1,167,812.10 and 405,001.80 is: 607,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,978.80 : 1,167,812.10 = 405,001.80 : x
  2. Step 2: Convert to fraction form
    778,978.80/1,167,812.10 = 405,001.80/x
  3. Step 3: Cross multiply
    778,978.80x = 1,167,812.10 × 405,001.80
  4. Step 4: Simplify right side
    778,978.80x = 472,966,002,561.78
  5. Step 5: Solve for x
    x = 472,966,002,561.78/778,978.80
  6. Step 6: Final answer
    x = 607,161.58

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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.