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Finding the Fourth Proportional to 338,692, 467,411.16 and 187,789

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Solution

The fourth proportional to 338,692, 467,411.16 and 187,789 is: 259,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,692 : 467,411.16 = 187,789 : x
  2. Step 2: Convert to fraction form
    338,692/467,411.16 = 187,789/x
  3. Step 3: Cross multiply
    338,692x = 467,411.16 × 187,789
  4. Step 4: Simplify right side
    338,692x = 87,774,674,325.24
  5. Step 5: Solve for x
    x = 87,774,674,325.24/338,692
  6. Step 6: Final answer
    x = 259,157.80

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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.