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Finding the Fourth Proportional to 290,260.20, 400,642.56 and 175,539

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Solution

The fourth proportional to 290,260.20, 400,642.56 and 175,539 is: 242,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,260.20 : 400,642.56 = 175,539 : x
  2. Step 2: Convert to fraction form
    290,260.20/400,642.56 = 175,539/x
  3. Step 3: Cross multiply
    290,260.20x = 400,642.56 × 175,539
  4. Step 4: Simplify right side
    290,260.20x = 70,328,394,339.84
  5. Step 5: Solve for x
    x = 70,328,394,339.84/290,260.20
  6. Step 6: Final answer
    x = 242,294.31

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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.