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Finding the Fourth Proportional to 458,015.21, 686,690.67 and 307,883.13

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Solution

The fourth proportional to 458,015.21, 686,690.67 and 307,883.13 is: 461,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,015.21 : 686,690.67 = 307,883.13 : x
  2. Step 2: Convert to fraction form
    458,015.21/686,690.67 = 307,883.13/x
  3. Step 3: Cross multiply
    458,015.21x = 686,690.67 × 307,883.13
  4. Step 4: Simplify right side
    458,015.21x = 211,420,471,666.84
  5. Step 5: Solve for x
    x = 211,420,471,666.84/458,015.21
  6. Step 6: Final answer
    x = 461,601.42

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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.