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Finding the Fourth Proportional to 381,964.12, 570,142.43 and 353,815

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Solution

The fourth proportional to 381,964.12, 570,142.43 and 353,815 is: 528,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,964.12 : 570,142.43 = 353,815 : x
  2. Step 2: Convert to fraction form
    381,964.12/570,142.43 = 353,815/x
  3. Step 3: Cross multiply
    381,964.12x = 570,142.43 × 353,815
  4. Step 4: Simplify right side
    381,964.12x = 201,724,943,870.45
  5. Step 5: Solve for x
    x = 201,724,943,870.45/381,964.12
  6. Step 6: Final answer
    x = 528,125.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.