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Finding the Fourth Proportional to 380,524.05, 525,127.02 and 229,591.89

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Solution

The fourth proportional to 380,524.05, 525,127.02 and 229,591.89 is: 316,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,524.05 : 525,127.02 = 229,591.89 : x
  2. Step 2: Convert to fraction form
    380,524.05/525,127.02 = 229,591.89/x
  3. Step 3: Cross multiply
    380,524.05x = 525,127.02 × 229,591.89
  4. Step 4: Simplify right side
    380,524.05x = 120,564,905,011.87
  5. Step 5: Solve for x
    x = 120,564,905,011.87/380,524.05
  6. Step 6: Final answer
    x = 316,839.12

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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.