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Finding the Fourth Proportional to 275,897.60, 380,710.32 and 155,019.68

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Solution

The fourth proportional to 275,897.60, 380,710.32 and 155,019.68 is: 213,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,897.60 : 380,710.32 = 155,019.68 : x
  2. Step 2: Convert to fraction form
    275,897.60/380,710.32 = 155,019.68/x
  3. Step 3: Cross multiply
    275,897.60x = 380,710.32 × 155,019.68
  4. Step 4: Simplify right side
    275,897.60x = 59,017,591,979.10
  5. Step 5: Solve for x
    x = 59,017,591,979.10/275,897.60
  6. Step 6: Final answer
    x = 213,911.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.