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Finding the Fourth Proportional to 338,687, 467,404.26 and 187,784

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Solution

The fourth proportional to 338,687, 467,404.26 and 187,784 is: 259,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,687 : 467,404.26 = 187,784 : x
  2. Step 2: Convert to fraction form
    338,687/467,404.26 = 187,784/x
  3. Step 3: Cross multiply
    338,687x = 467,404.26 × 187,784
  4. Step 4: Simplify right side
    338,687x = 87,771,041,559.84
  5. Step 5: Solve for x
    x = 87,771,041,559.84/338,687
  6. Step 6: Final answer
    x = 259,150.90

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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.