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Finding the Fourth Proportional to 319,529.41, 440,955.70 and 176,289.41

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Solution

The fourth proportional to 319,529.41, 440,955.70 and 176,289.41 is: 243,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,529.41 : 440,955.70 = 176,289.41 : x
  2. Step 2: Convert to fraction form
    319,529.41/440,955.70 = 176,289.41/x
  3. Step 3: Cross multiply
    319,529.41x = 440,955.70 × 176,289.41
  4. Step 4: Simplify right side
    319,529.41x = 77,735,820,850.80
  5. Step 5: Solve for x
    x = 77,735,820,850.80/319,529.41
  6. Step 6: Final answer
    x = 243,282.21

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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.