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Finding the Fourth Proportional to 390,577.26, 538,991.77 and 229,447.00

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Solution

The fourth proportional to 390,577.26, 538,991.77 and 229,447.00 is: 316,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,577.26 : 538,991.77 = 229,447.00 : x
  2. Step 2: Convert to fraction form
    390,577.26/538,991.77 = 229,447.00/x
  3. Step 3: Cross multiply
    390,577.26x = 538,991.77 × 229,447.00
  4. Step 4: Simplify right side
    390,577.26x = 123,670,040,809.00
  5. Step 5: Solve for x
    x = 123,670,040,809.00/390,577.26
  6. Step 6: Final answer
    x = 316,634.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.