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Finding the Fourth Proportional to 310,633.44, 428,552.24 and 174,636

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Solution

The fourth proportional to 310,633.44, 428,552.24 and 174,636 is: 240,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,633.44 : 428,552.24 = 174,636 : x
  2. Step 2: Convert to fraction form
    310,633.44/428,552.24 = 174,636/x
  3. Step 3: Cross multiply
    310,633.44x = 428,552.24 × 174,636
  4. Step 4: Simplify right side
    310,633.44x = 74,840,648,984.64
  5. Step 5: Solve for x
    x = 74,840,648,984.64/310,633.44
  6. Step 6: Final answer
    x = 240,929.14

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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.