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Finding the Fourth Proportional to 319,335.75, 440,686.31 and 176,100.75

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Solution

The fourth proportional to 319,335.75, 440,686.31 and 176,100.75 is: 243,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,335.75 : 440,686.31 = 176,100.75 : x
  2. Step 2: Convert to fraction form
    319,335.75/440,686.31 = 176,100.75/x
  3. Step 3: Cross multiply
    319,335.75x = 440,686.31 × 176,100.75
  4. Step 4: Simplify right side
    319,335.75x = 77,605,188,825.23
  5. Step 5: Solve for x
    x = 77,605,188,825.23/319,335.75
  6. Step 6: Final answer
    x = 243,020.67

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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.