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Finding the Fourth Proportional to 310,690.52, 428,748.86 and 174,724.44

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Solution

The fourth proportional to 310,690.52, 428,748.86 and 174,724.44 is: 241,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,690.52 : 428,748.86 = 174,724.44 : x
  2. Step 2: Convert to fraction form
    310,690.52/428,748.86 = 174,724.44/x
  3. Step 3: Cross multiply
    310,690.52x = 428,748.86 × 174,724.44
  4. Step 4: Simplify right side
    310,690.52x = 74,912,904,464.14
  5. Step 5: Solve for x
    x = 74,912,904,464.14/310,690.52
  6. Step 6: Final answer
    x = 241,117.45

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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.