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Finding the Fourth Proportional to 338,643, 467,341.92 and 187,740

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Solution

The fourth proportional to 338,643, 467,341.92 and 187,740 is: 259,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,643 : 467,341.92 = 187,740 : x
  2. Step 2: Convert to fraction form
    338,643/467,341.92 = 187,740/x
  3. Step 3: Cross multiply
    338,643x = 467,341.92 × 187,740
  4. Step 4: Simplify right side
    338,643x = 87,738,772,060.80
  5. Step 5: Solve for x
    x = 87,738,772,060.80/338,643
  6. Step 6: Final answer
    x = 259,089.28

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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.