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Finding the Fourth Proportional to 338,500, 467,130 and 187,606.72

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Solution

The fourth proportional to 338,500, 467,130 and 187,606.72 is: 258,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,500 : 467,130 = 187,606.72 : x
  2. Step 2: Convert to fraction form
    338,500/467,130 = 187,606.72/x
  3. Step 3: Cross multiply
    338,500x = 467,130 × 187,606.72
  4. Step 4: Simplify right side
    338,500x = 87,636,727,113.60
  5. Step 5: Solve for x
    x = 87,636,727,113.60/338,500
  6. Step 6: Final answer
    x = 258,897.27

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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.