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Finding the Fourth Proportional to 379,077.84, 523,130.76 and 209,324.88

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Solution

The fourth proportional to 379,077.84, 523,130.76 and 209,324.88 is: 288,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,077.84 : 523,130.76 = 209,324.88 : x
  2. Step 2: Convert to fraction form
    379,077.84/523,130.76 = 209,324.88/x
  3. Step 3: Cross multiply
    379,077.84x = 523,130.76 × 209,324.88
  4. Step 4: Simplify right side
    379,077.84x = 109,504,283,561.31
  5. Step 5: Solve for x
    x = 109,504,283,561.31/379,077.84
  6. Step 6: Final answer
    x = 288,870.18

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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.