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Finding the Fourth Proportional to 342,564.39, 472,739.79 and 189,613.13

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Solution

The fourth proportional to 342,564.39, 472,739.79 and 189,613.13 is: 261,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,564.39 : 472,739.79 = 189,613.13 : x
  2. Step 2: Convert to fraction form
    342,564.39/472,739.79 = 189,613.13/x
  3. Step 3: Cross multiply
    342,564.39x = 472,739.79 × 189,613.13
  4. Step 4: Simplify right side
    342,564.39x = 89,637,670,934.37
  5. Step 5: Solve for x
    x = 89,637,670,934.37/342,564.39
  6. Step 6: Final answer
    x = 261,666.63

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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.