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Finding the Fourth Proportional to 310,672.31, 428,677.78 and 174,698.15

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Solution

The fourth proportional to 310,672.31, 428,677.78 and 174,698.15 is: 241,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,672.31 : 428,677.78 = 174,698.15 : x
  2. Step 2: Convert to fraction form
    310,672.31/428,677.78 = 174,698.15/x
  3. Step 3: Cross multiply
    310,672.31x = 428,677.78 × 174,698.15
  4. Step 4: Simplify right side
    310,672.31x = 74,889,217,325.00
  5. Step 5: Solve for x
    x = 74,889,217,325.00/310,672.31
  6. Step 6: Final answer
    x = 241,055.33

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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.