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Finding the Fourth Proportional to 458,814.79, 687,843.15 and 202,464.82

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Solution

The fourth proportional to 458,814.79, 687,843.15 and 202,464.82 is: 303,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,814.79 : 687,843.15 = 202,464.82 : x
  2. Step 2: Convert to fraction form
    458,814.79/687,843.15 = 202,464.82/x
  3. Step 3: Cross multiply
    458,814.79x = 687,843.15 × 202,464.82
  4. Step 4: Simplify right side
    458,814.79x = 139,264,039,552.98
  5. Step 5: Solve for x
    x = 139,264,039,552.98/458,814.79
  6. Step 6: Final answer
    x = 303,529.97

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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.