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Finding the Fourth Proportional to 521,533.14, 719,690.82 and 320,290.26

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Solution

The fourth proportional to 521,533.14, 719,690.82 and 320,290.26 is: 441,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,533.14 : 719,690.82 = 320,290.26 : x
  2. Step 2: Convert to fraction form
    521,533.14/719,690.82 = 320,290.26/x
  3. Step 3: Cross multiply
    521,533.14x = 719,690.82 × 320,290.26
  4. Step 4: Simplify right side
    521,533.14x = 230,509,959,857.41
  5. Step 5: Solve for x
    x = 230,509,959,857.41/521,533.14
  6. Step 6: Final answer
    x = 441,985.26

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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.