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Finding the Fourth Proportional to 438,664.26, 657,862.41 and 185,940

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Solution

The fourth proportional to 438,664.26, 657,862.41 and 185,940 is: 278,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,664.26 : 657,862.41 = 185,940 : x
  2. Step 2: Convert to fraction form
    438,664.26/657,862.41 = 185,940/x
  3. Step 3: Cross multiply
    438,664.26x = 657,862.41 × 185,940
  4. Step 4: Simplify right side
    438,664.26x = 122,322,936,515.40
  5. Step 5: Solve for x
    x = 122,322,936,515.40/438,664.26
  6. Step 6: Final answer
    x = 278,853.21

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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.