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Finding the Fourth Proportional to 442,075.26, 610,055.64 and 245,853.78

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Solution

The fourth proportional to 442,075.26, 610,055.64 and 245,853.78 is: 339,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,075.26 : 610,055.64 = 245,853.78 : x
  2. Step 2: Convert to fraction form
    442,075.26/610,055.64 = 245,853.78/x
  3. Step 3: Cross multiply
    442,075.26x = 610,055.64 × 245,853.78
  4. Step 4: Simplify right side
    442,075.26x = 149,984,485,104.32
  5. Step 5: Solve for x
    x = 149,984,485,104.32/442,075.26
  6. Step 6: Final answer
    x = 339,273.65

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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.