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Finding the Fourth Proportional to 705,034.21, 972,958.95 and 382,744.30

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Solution

The fourth proportional to 705,034.21, 972,958.95 and 382,744.30 is: 528,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,034.21 : 972,958.95 = 382,744.30 : x
  2. Step 2: Convert to fraction form
    705,034.21/972,958.95 = 382,744.30/x
  3. Step 3: Cross multiply
    705,034.21x = 972,958.95 × 382,744.30
  4. Step 4: Simplify right side
    705,034.21x = 372,394,492,246.49
  5. Step 5: Solve for x
    x = 372,394,492,246.49/705,034.21
  6. Step 6: Final answer
    x = 528,193.51

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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.