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Finding the Fourth Proportional to 521,534.82, 782,175.78 and 142,457.32

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Solution

The fourth proportional to 521,534.82, 782,175.78 and 142,457.32 is: 213,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,534.82 : 782,175.78 = 142,457.32 : x
  2. Step 2: Convert to fraction form
    521,534.82/782,175.78 = 142,457.32/x
  3. Step 3: Cross multiply
    521,534.82x = 782,175.78 × 142,457.32
  4. Step 4: Simplify right side
    521,534.82x = 111,426,665,387.71
  5. Step 5: Solve for x
    x = 111,426,665,387.71/521,534.82
  6. Step 6: Final answer
    x = 213,651.44

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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.