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Finding the Fourth Proportional to 310,710.12, 428,775.88 and 174,744.02

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Solution

The fourth proportional to 310,710.12, 428,775.88 and 174,744.02 is: 241,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,710.12 : 428,775.88 = 174,744.02 : x
  2. Step 2: Convert to fraction form
    310,710.12/428,775.88 = 174,744.02/x
  3. Step 3: Cross multiply
    310,710.12x = 428,775.88 × 174,744.02
  4. Step 4: Simplify right side
    310,710.12x = 74,926,017,932.64
  5. Step 5: Solve for x
    x = 74,926,017,932.64/310,710.12
  6. Step 6: Final answer
    x = 241,144.44

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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.