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Finding the Fourth Proportional to 438,395.47, 657,537.76 and 138,906.43

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Solution

The fourth proportional to 438,395.47, 657,537.76 and 138,906.43 is: 208,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,395.47 : 657,537.76 = 138,906.43 : x
  2. Step 2: Convert to fraction form
    438,395.47/657,537.76 = 138,906.43/x
  3. Step 3: Cross multiply
    438,395.47x = 657,537.76 × 138,906.43
  4. Step 4: Simplify right side
    438,395.47x = 91,336,222,831.80
  5. Step 5: Solve for x
    x = 91,336,222,831.80/438,395.47
  6. Step 6: Final answer
    x = 208,342.08

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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.