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Finding the Fourth Proportional to 342,640.68, 472,847.88 and 189,681.43

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Solution

The fourth proportional to 342,640.68, 472,847.88 and 189,681.43 is: 261,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,640.68 : 472,847.88 = 189,681.43 : x
  2. Step 2: Convert to fraction form
    342,640.68/472,847.88 = 189,681.43/x
  3. Step 3: Cross multiply
    342,640.68x = 472,847.88 × 189,681.43
  4. Step 4: Simplify right side
    342,640.68x = 89,690,462,050.87
  5. Step 5: Solve for x
    x = 89,690,462,050.87/342,640.68
  6. Step 6: Final answer
    x = 261,762.44

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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.