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Finding the Fourth Proportional to 320,329.81, 441,981.80 and 191,243.16

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Solution

The fourth proportional to 320,329.81, 441,981.80 and 191,243.16 is: 263,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329.81 : 441,981.80 = 191,243.16 : x
  2. Step 2: Convert to fraction form
    320,329.81/441,981.80 = 191,243.16/x
  3. Step 3: Cross multiply
    320,329.81x = 441,981.80 × 191,243.16
  4. Step 4: Simplify right side
    320,329.81x = 84,525,996,094.49
  5. Step 5: Solve for x
    x = 84,525,996,094.49/320,329.81
  6. Step 6: Final answer
    x = 263,871.78

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1.5x scale

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.