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Finding the Fourth Proportional to 438,287.81, 657,365.94 and 138,729.56

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Solution

The fourth proportional to 438,287.81, 657,365.94 and 138,729.56 is: 208,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,287.81 : 657,365.94 = 138,729.56 : x
  2. Step 2: Convert to fraction form
    438,287.81/657,365.94 = 138,729.56/x
  3. Step 3: Cross multiply
    438,287.81x = 657,365.94 × 138,729.56
  4. Step 4: Simplify right side
    438,287.81x = 91,196,084,328.36
  5. Step 5: Solve for x
    x = 91,196,084,328.36/438,287.81
  6. Step 6: Final answer
    x = 208,073.52

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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.