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Finding the Fourth Proportional to 275,943.93, 380,806.02 and 155,078.16

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Solution

The fourth proportional to 275,943.93, 380,806.02 and 155,078.16 is: 214,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,943.93 : 380,806.02 = 155,078.16 : x
  2. Step 2: Convert to fraction form
    275,943.93/380,806.02 = 155,078.16/x
  3. Step 3: Cross multiply
    275,943.93x = 380,806.02 × 155,078.16
  4. Step 4: Simplify right side
    275,943.93x = 59,054,696,898.52
  5. Step 5: Solve for x
    x = 59,054,696,898.52/275,943.93
  6. Step 6: Final answer
    x = 214,009.77

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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.