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Finding the Fourth Proportional to 521,977.82, 720,317.12 and 307,131.80

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Solution

The fourth proportional to 521,977.82, 720,317.12 and 307,131.80 is: 423,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,977.82 : 720,317.12 = 307,131.80 : x
  2. Step 2: Convert to fraction form
    521,977.82/720,317.12 = 307,131.80/x
  3. Step 3: Cross multiply
    521,977.82x = 720,317.12 × 307,131.80
  4. Step 4: Simplify right side
    521,977.82x = 221,232,293,636.42
  5. Step 5: Solve for x
    x = 221,232,293,636.42/521,977.82
  6. Step 6: Final answer
    x = 423,834.66

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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.