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Finding the Fourth Proportional to 310,396.50, 428,347.62 and 176,260.50

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Solution

The fourth proportional to 310,396.50, 428,347.62 and 176,260.50 is: 243,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,396.50 : 428,347.62 = 176,260.50 : x
  2. Step 2: Convert to fraction form
    310,396.50/428,347.62 = 176,260.50/x
  3. Step 3: Cross multiply
    310,396.50x = 428,347.62 × 176,260.50
  4. Step 4: Simplify right side
    310,396.50x = 75,500,765,675.01
  5. Step 5: Solve for x
    x = 75,500,765,675.01/310,396.50
  6. Step 6: Final answer
    x = 243,239.75

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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.