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Finding the Fourth Proportional to 310,695.57, 428,775.39 and 174,772.31

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Solution

The fourth proportional to 310,695.57, 428,775.39 and 174,772.31 is: 241,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,695.57 : 428,775.39 = 174,772.31 : x
  2. Step 2: Convert to fraction form
    310,695.57/428,775.39 = 174,772.31/x
  3. Step 3: Cross multiply
    310,695.57x = 428,775.39 × 174,772.31
  4. Step 4: Simplify right side
    310,695.57x = 74,938,063,237.57
  5. Step 5: Solve for x
    x = 74,938,063,237.57/310,695.57
  6. Step 6: Final answer
    x = 241,194.50

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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.