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Finding the Fourth Proportional to 438,893.84, 658,238.52 and 123,381.20

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Solution

The fourth proportional to 438,893.84, 658,238.52 and 123,381.20 is: 185,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,893.84 : 658,238.52 = 123,381.20 : x
  2. Step 2: Convert to fraction form
    438,893.84/658,238.52 = 123,381.20/x
  3. Step 3: Cross multiply
    438,893.84x = 658,238.52 × 123,381.20
  4. Step 4: Simplify right side
    438,893.84x = 81,214,258,483.82
  5. Step 5: Solve for x
    x = 81,214,258,483.82/438,893.84
  6. Step 6: Final answer
    x = 185,043.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.