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Finding the Fourth Proportional to 315,055.76, 434,810.68 and 192,620

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Solution

The fourth proportional to 315,055.76, 434,810.68 and 192,620 is: 265,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055.76 : 434,810.68 = 192,620 : x
  2. Step 2: Convert to fraction form
    315,055.76/434,810.68 = 192,620/x
  3. Step 3: Cross multiply
    315,055.76x = 434,810.68 × 192,620
  4. Step 4: Simplify right side
    315,055.76x = 83,753,233,181.60
  5. Step 5: Solve for x
    x = 83,753,233,181.60/315,055.76
  6. Step 6: Final answer
    x = 265,836.22

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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.