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Finding the Fourth Proportional to 315,056.76, 434,812.06 and 192,621

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Solution

The fourth proportional to 315,056.76, 434,812.06 and 192,621 is: 265,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,056.76 : 434,812.06 = 192,621 : x
  2. Step 2: Convert to fraction form
    315,056.76/434,812.06 = 192,621/x
  3. Step 3: Cross multiply
    315,056.76x = 434,812.06 × 192,621
  4. Step 4: Simplify right side
    315,056.76x = 83,753,933,809.26
  5. Step 5: Solve for x
    x = 83,753,933,809.26/315,056.76
  6. Step 6: Final answer
    x = 265,837.60

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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.