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Finding the Fourth Proportional to 371,955.84, 513,302.04 and 202,189.56

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Solution

The fourth proportional to 371,955.84, 513,302.04 and 202,189.56 is: 279,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,955.84 : 513,302.04 = 202,189.56 : x
  2. Step 2: Convert to fraction form
    371,955.84/513,302.04 = 202,189.56/x
  3. Step 3: Cross multiply
    371,955.84x = 513,302.04 × 202,189.56
  4. Step 4: Simplify right side
    371,955.84x = 103,784,313,614.70
  5. Step 5: Solve for x
    x = 103,784,313,614.70/371,955.84
  6. Step 6: Final answer
    x = 279,023.21

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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.