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Finding the Fourth Proportional to 357,793.68, 494,188.32 and 260,844

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Solution

The fourth proportional to 357,793.68, 494,188.32 and 260,844 is: 360,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,793.68 : 494,188.32 = 260,844 : x
  2. Step 2: Convert to fraction form
    357,793.68/494,188.32 = 260,844/x
  3. Step 3: Cross multiply
    357,793.68x = 494,188.32 × 260,844
  4. Step 4: Simplify right side
    357,793.68x = 128,906,058,142.08
  5. Step 5: Solve for x
    x = 128,906,058,142.08/357,793.68
  6. Step 6: Final answer
    x = 360,280.42

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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.