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Finding the Fourth Proportional to 507,402.62, 700,159.11 and 280,991.42

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Solution

The fourth proportional to 507,402.62, 700,159.11 and 280,991.42 is: 387,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,402.62 : 700,159.11 = 280,991.42 : x
  2. Step 2: Convert to fraction form
    507,402.62/700,159.11 = 280,991.42/x
  3. Step 3: Cross multiply
    507,402.62x = 700,159.11 × 280,991.42
  4. Step 4: Simplify right side
    507,402.62x = 196,738,702,544.84
  5. Step 5: Solve for x
    x = 196,738,702,544.84/507,402.62
  6. Step 6: Final answer
    x = 387,736.87

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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.