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Finding the Fourth Proportional to 394,434.64, 543,173.16 and 342,730

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Solution

The fourth proportional to 394,434.64, 543,173.16 and 342,730 is: 471,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,434.64 : 543,173.16 = 342,730 : x
  2. Step 2: Convert to fraction form
    394,434.64/543,173.16 = 342,730/x
  3. Step 3: Cross multiply
    394,434.64x = 543,173.16 × 342,730
  4. Step 4: Simplify right side
    394,434.64x = 186,161,737,126.80
  5. Step 5: Solve for x
    x = 186,161,737,126.80/394,434.64
  6. Step 6: Final answer
    x = 471,971.07

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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.