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Finding the Fourth Proportional to 310,557.82, 428,585 and 174,634.56

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Solution

The fourth proportional to 310,557.82, 428,585 and 174,634.56 is: 241,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,557.82 : 428,585 = 174,634.56 : x
  2. Step 2: Convert to fraction form
    310,557.82/428,585 = 174,634.56/x
  3. Step 3: Cross multiply
    310,557.82x = 428,585 × 174,634.56
  4. Step 4: Simplify right side
    310,557.82x = 74,845,752,897.60
  5. Step 5: Solve for x
    x = 74,845,752,897.60/310,557.82
  6. Step 6: Final answer
    x = 241,004.24

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1.5x scale

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.