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Finding the Fourth Proportional to 438,512.94, 657,792.62 and 139,016.88

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Solution

The fourth proportional to 438,512.94, 657,792.62 and 139,016.88 is: 208,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,512.94 : 657,792.62 = 139,016.88 : x
  2. Step 2: Convert to fraction form
    438,512.94/657,792.62 = 139,016.88/x
  3. Step 3: Cross multiply
    438,512.94x = 657,792.62 × 139,016.88
  4. Step 4: Simplify right side
    438,512.94x = 91,444,277,719.43
  5. Step 5: Solve for x
    x = 91,444,277,719.43/438,512.94
  6. Step 6: Final answer
    x = 208,532.68

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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.