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Finding the Fourth Proportional to 310,804.82, 428,898.21 and 174,841.46

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Solution

The fourth proportional to 310,804.82, 428,898.21 and 174,841.46 is: 241,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,804.82 : 428,898.21 = 174,841.46 : x
  2. Step 2: Convert to fraction form
    310,804.82/428,898.21 = 174,841.46/x
  3. Step 3: Cross multiply
    310,804.82x = 428,898.21 × 174,841.46
  4. Step 4: Simplify right side
    310,804.82x = 74,989,189,227.79
  5. Step 5: Solve for x
    x = 74,989,189,227.79/310,804.82
  6. Step 6: Final answer
    x = 241,274.22

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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.