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Finding the Fourth Proportional to 538,743.80, 809,670.90 and 529,412.60

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Solution

The fourth proportional to 538,743.80, 809,670.90 and 529,412.60 is: 795,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,743.80 : 809,670.90 = 529,412.60 : x
  2. Step 2: Convert to fraction form
    538,743.80/809,670.90 = 529,412.60/x
  3. Step 3: Cross multiply
    538,743.80x = 809,670.90 × 529,412.60
  4. Step 4: Simplify right side
    538,743.80x = 428,649,976,313.34
  5. Step 5: Solve for x
    x = 428,649,976,313.34/538,743.80
  6. Step 6: Final answer
    x = 795,647.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.